Art of Problem Solving
AoPS Online AoPS Online
Math texts, online classes, and more
for students in grades 5-12.
Visit AoPS Online ‚
Books for Grades 5-12 Online Courses
Beast Academy Beast Academy
Engaging math books and online learning
for students ages 6-13.
Visit Beast Academy ‚
Books for Ages 6-13 Beast Academy Online
AoPS Academy AoPS Academy
Small live classes for advanced math
and language arts learners in grades 1-12.
Visit AoPS Academy ‚
Find a Physical Campus Visit the Virtual Campus

Join our FREE webinar on May 1st to learn about managing anxiety.
No tags match your search
M
G
Topic
First Poster
Last Poster
H
k a April Highlights and 2025 AoPS Online Class Information
jlacosta   0
Apr 2, 2025
Spring is in full swing and summer is right around the corner, what are your plans? At AoPS Online our schedule has new classes starting now through July, so be sure to keep your skills sharp and be prepared for the Fall school year! Check out the schedule of upcoming classes below.

WOOT early bird pricing is in effect, don’t miss out! If you took MathWOOT Level 2 last year, no worries, it is all new problems this year! Our Worldwide Online Olympiad Training program is for high school level competitors. AoPS designed these courses to help our top students get the deep focus they need to succeed in their specific competition goals. Check out the details at this link for all our WOOT programs in math, computer science, chemistry, and physics.

Looking for summer camps in math and language arts? Be sure to check out the video-based summer camps offered at the Virtual Campus that are 2- to 4-weeks in duration. There are middle and high school competition math camps as well as Math Beasts camps that review key topics coupled with fun explorations covering areas such as graph theory (Math Beasts Camp 6), cryptography (Math Beasts Camp 7-8), and topology (Math Beasts Camp 8-9)!

Be sure to mark your calendars for the following events:
[list][*]April 3rd (Webinar), 4pm PT/7:00pm ET, Learning with AoPS: Perspectives from a Parent, Math Camp Instructor, and University Professor
[*]April 8th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MATHCOUNTS State Discussion
April 9th (Webinar), 4:00pm PT/7:00pm ET, Learn about Video-based Summer Camps at the Virtual Campus
[*]April 10th (Math Jam), 4:30pm PT/7:30pm ET, 2025 MathILy and MathILy-Er Math Jam: Multibackwards Numbers
[*]April 22nd (Webinar), 4:00pm PT/7:00pm ET, Competitive Programming at AoPS (USACO).[/list]
Our full course list for upcoming classes is below:
All classes run 7:30pm-8:45pm ET/4:30pm - 5:45pm PT unless otherwise noted.

Introductory: Grades 5-10

Prealgebra 1 Self-Paced

Prealgebra 1
Sunday, Apr 13 - Aug 10
Tuesday, May 13 - Aug 26
Thursday, May 29 - Sep 11
Sunday, Jun 15 - Oct 12
Monday, Jun 30 - Oct 20
Wednesday, Jul 16 - Oct 29

Prealgebra 2 Self-Paced

Prealgebra 2
Sunday, Apr 13 - Aug 10
Wednesday, May 7 - Aug 20
Monday, Jun 2 - Sep 22
Sunday, Jun 29 - Oct 26
Friday, Jul 25 - Nov 21

Introduction to Algebra A Self-Paced

Introduction to Algebra A
Monday, Apr 7 - Jul 28
Sunday, May 11 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Wednesday, May 14 - Aug 27
Friday, May 30 - Sep 26
Monday, Jun 2 - Sep 22
Sunday, Jun 15 - Oct 12
Thursday, Jun 26 - Oct 9
Tuesday, Jul 15 - Oct 28

Introduction to Counting & Probability Self-Paced

Introduction to Counting & Probability
Wednesday, Apr 16 - Jul 2
Thursday, May 15 - Jul 31
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Wednesday, Jul 9 - Sep 24
Sunday, Jul 27 - Oct 19

Introduction to Number Theory
Thursday, Apr 17 - Jul 3
Friday, May 9 - Aug 1
Wednesday, May 21 - Aug 6
Monday, Jun 9 - Aug 25
Sunday, Jun 15 - Sep 14
Tuesday, Jul 15 - Sep 30

Introduction to Algebra B Self-Paced

Introduction to Algebra B
Wednesday, Apr 16 - Jul 30
Tuesday, May 6 - Aug 19
Wednesday, Jun 4 - Sep 17
Sunday, Jun 22 - Oct 19
Friday, Jul 18 - Nov 14

Introduction to Geometry
Wednesday, Apr 23 - Oct 1
Sunday, May 11 - Nov 9
Tuesday, May 20 - Oct 28
Monday, Jun 16 - Dec 8
Friday, Jun 20 - Jan 9
Sunday, Jun 29 - Jan 11
Monday, Jul 14 - Jan 19

Intermediate: Grades 8-12

Intermediate Algebra
Monday, Apr 21 - Oct 13
Sunday, Jun 1 - Nov 23
Tuesday, Jun 10 - Nov 18
Wednesday, Jun 25 - Dec 10
Sunday, Jul 13 - Jan 18
Thursday, Jul 24 - Jan 22

Intermediate Counting & Probability
Wednesday, May 21 - Sep 17
Sunday, Jun 22 - Nov 2

Intermediate Number Theory
Friday, Apr 11 - Jun 27
Sunday, Jun 1 - Aug 24
Wednesday, Jun 18 - Sep 3

Precalculus
Wednesday, Apr 9 - Sep 3
Friday, May 16 - Oct 24
Sunday, Jun 1 - Nov 9
Monday, Jun 30 - Dec 8

Advanced: Grades 9-12

Olympiad Geometry
Tuesday, Jun 10 - Aug 26

Calculus
Tuesday, May 27 - Nov 11
Wednesday, Jun 25 - Dec 17

Group Theory
Thursday, Jun 12 - Sep 11

Contest Preparation: Grades 6-12

MATHCOUNTS/AMC 8 Basics
Wednesday, Apr 16 - Jul 2
Friday, May 23 - Aug 15
Monday, Jun 2 - Aug 18
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

MATHCOUNTS/AMC 8 Advanced
Friday, Apr 11 - Jun 27
Sunday, May 11 - Aug 10
Tuesday, May 27 - Aug 12
Wednesday, Jun 11 - Aug 27
Sunday, Jun 22 - Sep 21
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Problem Series
Friday, May 9 - Aug 1
Sunday, Jun 1 - Aug 24
Thursday, Jun 12 - Aug 28
Tuesday, Jun 17 - Sep 2
Sunday, Jun 22 - Sep 21 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Monday, Jun 23 - Sep 15
Tues & Thurs, Jul 8 - Aug 14 (meets twice a week!)

AMC 10 Final Fives
Sunday, May 11 - Jun 8
Tuesday, May 27 - Jun 17
Monday, Jun 30 - Jul 21

AMC 12 Problem Series
Tuesday, May 27 - Aug 12
Thursday, Jun 12 - Aug 28
Sunday, Jun 22 - Sep 21
Wednesday, Aug 6 - Oct 22

AMC 12 Final Fives
Sunday, May 18 - Jun 15

F=ma Problem Series
Wednesday, Jun 11 - Aug 27

WOOT Programs
Visit the pages linked for full schedule details for each of these programs!

MathWOOT Level 1
MathWOOT Level 2
ChemWOOT
CodeWOOT
PhysicsWOOT

Programming

Introduction to Programming with Python
Thursday, May 22 - Aug 7
Sunday, Jun 15 - Sep 14 (1:00 - 2:30 pm ET/10:00 - 11:30 am PT)
Tuesday, Jun 17 - Sep 2
Monday, Jun 30 - Sep 22

Intermediate Programming with Python
Sunday, Jun 1 - Aug 24
Monday, Jun 30 - Sep 22

USACO Bronze Problem Series
Tuesday, May 13 - Jul 29
Sunday, Jun 22 - Sep 1

Physics

Introduction to Physics
Wednesday, May 21 - Aug 6
Sunday, Jun 15 - Sep 14
Monday, Jun 23 - Sep 15

Physics 1: Mechanics
Thursday, May 22 - Oct 30
Monday, Jun 23 - Dec 15

Relativity
Sat & Sun, Apr 26 - Apr 27 (4:00 - 7:00 pm ET/1:00 - 4:00pm PT)
Mon, Tue, Wed & Thurs, Jun 23 - Jun 26 (meets every day of the week!)
0 replies
jlacosta
Apr 2, 2025
0 replies
J
H
k i Adding contests to the Contest Collections
dcouchman   1
N Apr 5, 2023 by v_Enhance
Want to help AoPS remain a valuable Olympiad resource? Help us add contests to AoPS's Contest Collections.

Find instructions and a list of contests to add here: https://artofproblemsolving.com/community/c40244h1064480_contests_to_add
1 reply
dcouchman
Sep 9, 2019
v_Enhance
Apr 5, 2023
J
H
k i Zero tolerance
ZetaX   49
N May 4, 2019 by NoDealsHere
Source: Use your common sense! (enough is enough)
Some users don't want to learn, some other simply ignore advises.
But please follow the following guideline:


To make it short: ALWAYS USE YOUR COMMON SENSE IF POSTING!
If you don't have common sense, don't post.


More specifically:

For new threads:


a) Good, meaningful title:
The title has to say what the problem is about in best way possible.
If that title occured already, it's definitely bad. And contest names aren't good either.
That's in fact a requirement for being able to search old problems.

Examples:
Bad titles:
- "Hard"/"Medium"/"Easy" (if you find it so cool how hard/easy it is, tell it in the post and use a title that tells us the problem)
- "Number Theory" (hey guy, guess why this forum's named that way¿ and is it the only such problem on earth¿)
- "Fibonacci" (there are millions of Fibonacci problems out there, all posted and named the same...)
- "Chinese TST 2003" (does this say anything about the problem¿)
Good titles:
- "On divisors of a³+2b³+4c³-6abc"
- "Number of solutions to x²+y²=6z²"
- "Fibonacci numbers are never squares"


b) Use search function:
Before posting a "new" problem spend at least two, better five, minutes to look if this problem was posted before. If it was, don't repost it. If you have anything important to say on topic, post it in one of the older threads.
If the thread is locked cause of this, use search function.

Update (by Amir Hossein). The best way to search for two keywords in AoPS is to input
[code]+"first keyword" +"second keyword"[/code]
so that any post containing both strings "first word" and "second form".


c) Good problem statement:
Some recent really bad post was:
[quote]$lim_{n\to 1}^{+\infty}\frac{1}{n}-lnn$[/quote]
It contains no question and no answer.
If you do this, too, you are on the best way to get your thread deleted. Write everything clearly, define where your variables come from (and define the "natural" numbers if used). Additionally read your post at least twice before submitting. After you sent it, read it again and use the Edit-Button if necessary to correct errors.


For answers to already existing threads:


d) Of any interest and with content:
Don't post things that are more trivial than completely obvious. For example, if the question is to solve $x^{3}+y^{3}=z^{3}$, do not answer with "$x=y=z=0$ is a solution" only. Either you post any kind of proof or at least something unexpected (like "$x=1337, y=481, z=42$ is the smallest solution). Someone that does not see that $x=y=z=0$ is a solution of the above without your post is completely wrong here, this is an IMO-level forum.
Similar, posting "I have solved this problem" but not posting anything else is not welcome; it even looks that you just want to show off what a genius you are.

e) Well written and checked answers:
Like c) for new threads, check your solutions at least twice for mistakes. And after sending, read it again and use the Edit-Button if necessary to correct errors.



To repeat it: ALWAYS USE YOUR COMMON SENSE IF POSTING!


Everything definitely out of range of common sense will be locked or deleted (exept for new users having less than about 42 posts, they are newbies and need/get some time to learn).

The above rules will be applied from next monday (5. march of 2007).
Feel free to discuss on this here.
49 replies
ZetaX
Feb 27, 2007
NoDealsHere
May 4, 2019
J
H
Do not try to case bash lol
ItzsleepyXD   2
N 2 hours ago by cursed_tangent1434
Source: Own , Mock Thailand Mathematic Olympiad P3
Let $n,d\geqslant 6$ be a positive integer such that $d\mid 6^{n!}+1$ .
Prove that $d>2n+6$ .
2 replies
ItzsleepyXD
Yesterday at 9:08 AM
cursed_tangent1434
2 hours ago
J
H
N lines cutting each other in the plane
M.J.Espinas   4
N 2 hours ago by Lemmas
Source: Iranian Math Olympiad(Second Round 2016)
Let $l_1,l_2,l_3,...,L_n$ be lines in the plane such that no two of them are parallel and no three of them are concurrent. Let $A$ be the intersection point of lines $l_i,l_j$. We call $A$ an "Interior Point" if there are points $C,D$ on $l_i$ and $E,F$ on $l_j$ such that $A$ is between $C,D$ and $E,F$. Prove that there are at least $\frac{(n-2)(n-3)}{2}$ Interior points.($n>2$)
note: by point here we mean the points which are intersection point of two of $l_1,l_2,...,l_n$.
4 replies
M.J.Espinas
May 5, 2016
Lemmas
2 hours ago
J
H
Summer Classes
triggod   0
2 hours ago
Summer STEM Success Series with Fikky Dosunmu!
Empower Your Learning. Sharpen Your Skills. Crush Your Goals.

Who Am I?
Hi! I’m Fikky Dosunmu, an incoming freshman at Carnegie Mellon University’s School of Computer Science, and was admitted to several other top institutions, including the California Institute of Technology.
This Summer’s Course Offerings (8–10 Weeks)

SAT Math Mastery
From Algebra to Advanced Word Problems — Learn test-taking strategies, avoid common traps, and aim for a perfect math score.
USACO Bronze Bootcamp
Jump into competitive programming! Master problem types in C++/Java, develop algorithmic thinking, and prep for Silver-level promotion.
Single Variable Calculus
Tackle limits, derivatives, integrals, and real-world applications with guided instruction tailored to AP/college-level rigor.

Why Learn with Me?
Selected Finalist – CMU’s prestigious Summer Academy for Math and Science (SAMS)
Run a YouTube channel with 70K+ views and 700+ subscribers, where I teach math and coding to students around the world with clarity and passion
1st Place – HPE CodeWars Advanced 2025
Solved over 500 competitive programming problems on platforms like Codeforces and USACO
Years of Science Bowl and Science Olympiad Experience
AP Scholar with 5s in AP Calculus BC, Computer Science A, Statistics, Physics, Chemistry, Psychology
Scored 800 on the SAT Math section (Perfect Score)
Hands-on coding and teaching experience through projects, contests, and club leadership



Format
Each course runs for 8 to 10 weeks, tailored to student pacing.
Classes held online via Zoom or Google Meet — flexible scheduling.
Price ranges from 160 to 200 (USD) per course (based on duration & customization).
First 2 classes are FREE — no commitment required!
Money-back guarantee if you’re not satisfied after the second class.
If you are interested in class, shoot me an email (specify which class) at nucleusdosunmu96@gmail.com
0 replies
triggod
2 hours ago
0 replies
J
H
6 variable inequality
ChuongTk17   3
N 3 hours ago by ChuongTk17
Source: Own
Given real numbers a,b,c,d,e,f in the interval [-1;1] and positive x,y,z,t such that $$2xya+2xzb+2xtc+2yzd+2yte+2ztf=x^2+y^2+z^2+t^2$$. Prove that: $$a+b+c+d+e+f \leq 2$$
3 replies
1 viewing
ChuongTk17
Nov 29, 2024
ChuongTk17
3 hours ago
J
H
Arbitrary point on BC and its relation with orthocenter
falantrng   25
N 3 hours ago by EeEeRUT
Source: Balkan MO 2025 P2
In an acute-angled triangle \(ABC\), \(H\) be the orthocenter of it and \(D\) be any point on the side \(BC\). The points \(E, F\) are on the segments \(AB, AC\), respectively, such that the points \(A, B, D, F\) and \(A, C, D, E\) are cyclic. The segments \(BF\) and \(CE\) intersect at \(P.\) \(L\) is a point on \(HA\) such that \(LC\) is tangent to the circumcircle of triangle \(PBC\) at \(C.\) \(BH\) and \(CP\) intersect at \(X\). Prove that the points \(D, X, \) and \(L\) lie on the same line.

Proposed by Theoklitos Parayiou, Cyprus
25 replies
falantrng
Apr 27, 2025
EeEeRUT
3 hours ago
J
H
random achievements
Bummer12345   25
N 3 hours ago by A7456321
What are some random math achievements that you have accomplished but possess no real meaning?

For example, I solved #10 on the 2024 national mathcounts team round, though my team got a 5 Click to reveal hidden text and ended up getting 30-somethingth place
25 replies
Bummer12345
Mar 25, 2025
A7456321
3 hours ago
J
H
1500th Post!
PikaPika999   8
N 3 hours ago by PojoDotCom
I hit my 1500th post!!

To "celebrate" I guess this is a marathon for the 24 game! :)

3,3,8,8
8 replies
PikaPika999
Today at 1:09 AM
PojoDotCom
3 hours ago
J
H
Math with Connect4 Boards
Math-lover1   3
N 3 hours ago by Yihangzh
Hi! So I was playing Connect4 with my friends the other day and I wondered: how many "legal" arrangements of Connect4 can be reached at the ending position?

We assume that we do not stop the game when there is a four in a row, and we have 21 red pieces and 21 yellow pieces. We also drop the pieces one by one into a standard 7 by 6 board. We can start the game with any color piece.

https://en.wikipedia.org/wiki/Connect_Four

Initial Thoughts
Attempt to use one-to-one correspondences
3 replies
Math-lover1
6 hours ago
Yihangzh
3 hours ago
J
H
Hard inequality
JK1603JK   2
N 3 hours ago by arqady
Source: unknown?
Let $a,b,c\in R: abc\neq 0$ and $a+b+c=0$ then prove $$|\frac{a-b}{c}|+|\frac{b-c}{a}|+|\frac{c-a}{b}|\ge 6$$
2 replies
JK1603JK
4 hours ago
arqady
3 hours ago
J
H
BMO 2024 SL A5
MuradSafarli   2
N 3 hours ago by ja.


Let \(\mathbb{R}^+ = (0, \infty)\) be the set of positive real numbers.
Find all non-negative real numbers \(c \geq 0\) such that there exists a function \(f : \mathbb{R}^+ \to \mathbb{R}^+\) with the property:
\[ f(y^2f(x) + y + c) = xf(x+y^2) \]for all \(x, y \in \mathbb{R}^+\).

2 replies
MuradSafarli
Apr 27, 2025
ja.
3 hours ago
J
H
Something nice
KhuongTrang   29
N 3 hours ago by arqady
Source: own
Problem. Given $a,b,c$ be non-negative real numbers such that $ab+bc+ca=1.$ Prove that

$$\sqrt{a+1}+\sqrt{b+1}+\sqrt{c+1}\le 1+2\sqrt{a+b+c+abc}.$$
29 replies
KhuongTrang
Nov 1, 2023
arqady
3 hours ago
J
H
hard problem
Cobedangiu   15
N 4 hours ago by arqady
Let $a,b,c>0$ and $a+b+c=3$. Prove that:
$\dfrac{4}{a+b}+\dfrac{4}{b+c}+\dfrac{4}{c+a} \le \dfrac{1}{a}+\dfrac{1}{b}+\dfrac{1}{c}+3$
15 replies
Cobedangiu
Apr 21, 2025
arqady
4 hours ago
J
H
One on reals
Rushil   30
N 4 hours ago by Maximilian113
Source: INMO 2001 Problem 3
If $a,b,c$ are positive real numbers such that $abc= 1$, Prove that \[ a^{b+c} b^{c+a} c^{a+b} \leq 1 . \]
30 replies
Rushil
Oct 10, 2005
Maximilian113
4 hours ago
J
H
Bounding is hard
whatshisbucket   20
N 4 hours ago by torch
Source: ELMO 2018 #5, 2018 ELMO SL A2
Let $a_1,a_2,\dots,a_m$ be a finite sequence of positive integers. Prove that there exist nonnegative integers $b,c,$ and $N$ such that $$\left\lfloor \sum_{i=1}^m \sqrt{n+a_i} \right\rfloor =\left\lfloor \sqrt{bn+c} \right\rfloor$$holds for all integers $n>N.$

Proposed by Carl Schildkraut
20 replies
whatshisbucket
Jun 28, 2018
torch
4 hours ago
J
H
J
H
probability
lakers   13
N Aug 31, 2016 by wlm2
How many different four-digit, positive integers are there where each digit is a prime number?
13 replies
lakers
Aug 31, 2016
wlm2
Aug 31, 2016
J
probability
G H J
Reveal topic tags
probability
L
G H BBookmark kLocked kLocked NReply
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
lakers
23 posts
lakers
#1 h  Aug 31, 2016, 10:38 PM • 2 Y
Y by Adventure10, Mango247
How many different four-digit, positive integers are there where each digit is a prime number?
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
wlm2
3860 posts
wlm2
#2 h  Aug 31, 2016, 10:43 PM • 1 Y
Y by Adventure10
Sol
This post has been edited 2 times. Last edited by wlm2, Aug 31, 2016, 10:45 PM
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
hinna
974 posts
hinna
#3 h  Aug 31, 2016, 10:44 PM • 2 Y
Y by Adventure10, Mango247
Full Solution
This post has been edited 2 times. Last edited by hinna, Aug 31, 2016, 10:45 PM
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
lakers
23 posts
lakers
#4 h  Aug 31, 2016, 10:44 PM • 2 Y
Y by Adventure10, Mango247
hello...
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
wlm2
3860 posts
wlm2
#5 h  Aug 31, 2016, 10:45 PM • 2 Y
Y by Adventure10, Mango247
(technically this is counting, not probability. :))
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
BlackFyre
44 posts
BlackFyre
#6 h  Aug 31, 2016, 10:46 PM • 2 Y
Y by Adventure10, Mango247
don't post randomly like that lakers
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
lakers
23 posts
lakers
#7 h  Aug 31, 2016, 10:46 PM • 2 Y
Y by Adventure10, Mango247
what do you mean
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
wlm2
3860 posts
wlm2
#8 h  Aug 31, 2016, 10:48 PM • 1 Y
Y by Adventure10
he means this post:
lakers wrote:
hello...
This post has been edited 2 times. Last edited by wlm2, Aug 31, 2016, 10:48 PM
Reason: added
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
lakers
23 posts
lakers
#9 h  Aug 31, 2016, 10:49 PM • 1 Y
Y by Adventure10
I still dont understand
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
wlm2
3860 posts
wlm2
#10 h  Aug 31, 2016, 10:50 PM • 2 Y
Y by Adventure10, Mango247
lakers wrote:
I still dont understand

Just try not to post "random" posts like "hello..." next time. :)
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
lakers
23 posts
lakers
#11 h  Aug 31, 2016, 10:51 PM • 2 Y
Y by Adventure10, Mango247
I understand that you get one 4 from how there are 4 prime numbers from 0-9 but where do you get the 4th power
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
wlm2
3860 posts
wlm2
#12 h  Aug 31, 2016, 10:53 PM • 1 Y
Y by Adventure10
Since for each digit there's four choices for the number that goes there (since, the four one-digit primes).

Since there are four digits in the number, the total is
$4 \cdot 4 \cdot 4 \cdot 4 = 4^4 = 256$.
This post has been edited 1 time. Last edited by wlm2, Aug 31, 2016, 10:53 PM
Reason: ee
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
lakers
23 posts
lakers
#13 h  Aug 31, 2016, 10:54 PM • 1 Y
Y by Adventure10
I know how to do 4 to the 4th power but I don't understand why its 4 to the 4th power
Z K Y
The post below has been deleted. Click to close.
This post has been deleted. Click here to see post.
wlm2
3860 posts
wlm2
#14 h  Aug 31, 2016, 10:55 PM • 1 Y
Y by Adventure10
Since for the thousands digit there's four choices. For the hundreds digit there's four choices, for the tens digit there's four choices and for the ones digit there's four choices (the four primes).
So, since they are independent of each other, you'd multiply so the answer would be $4^4$.
Z K Y
N Quick Reply
G
H
=
a