Difference between revisions of "2021 AMC 12A Problems/Problem 1"

(Video Solution)
(Video Solution by Hawk Math)
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==Video Solution by Hawk Math==
 
==Video Solution by Hawk Math==
 
https://www.youtube.com/watch?v=P5al76DxyHY
 
https://www.youtube.com/watch?v=P5al76DxyHY
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== Video Solution (Using computation) ==
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https://youtu.be/90OIMAWAwNg
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~ pi_is_3.14
  
 
==See also==
 
==See also==
 
{{AMC12 box|year=2021|ab=A|before=First problem|num-a=2}}
 
{{AMC12 box|year=2021|ab=A|before=First problem|num-a=2}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 17:28, 11 February 2021

Problem

What is the value of\[2^{1+2+3}-(2^1+2^2+2^3)?\]$\textbf{(A) }0 \qquad \textbf{(B) }50 \qquad \textbf{(C) }52 \qquad \textbf{(D) }54 \qquad \textbf{(E) }57$

Solution

We evaluate the given expression to get that \[2^{1+2+3}-(2^1+2^2+2^3)=2^6-(2^1+2^2+2^3)=64-2-4-8=50 \implies \boxed{\text{(B)}}\]

Video Solution by Hawk Math

https://www.youtube.com/watch?v=P5al76DxyHY

Video Solution (Using computation)

https://youtu.be/90OIMAWAwNg

~ pi_is_3.14

See also

2021 AMC 12A (ProblemsAnswer KeyResources)
Preceded by
First problem
Followed by
Problem 2
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions

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