Difference between revisions of "1963 TMTA High School Algebra I Contest Problem 10"

Latest revision as of 23:06, 1 February 2021

Which of the following is true?

$\text{(A)} \quad a^3a^4 = (a^3)^7$

$\text{(B)} \quad a^3 + a^4 = a^7$

$\text{(C)} \quad \frac{(a+b)^3}{a^3} = b^3$

$\text{(D)} \quad a^3a^4 = a^12$

$\text{(E)} \quad \frac{(ab)^3}{a^3} = b^3$

Reviewing the rules of exponents, we see that A, B, and E are false. Expanding C and E, we find that $\boxed{\text{(E)}}$ is true.

@@ Line 10: / Line 10: @@
 <math>\text{(D)} \quad a^3a^4 = a^12</math>
-<math>\text{(E)} \quad </math>\frac{(ab)^3}{a^3} = b^3<math>
+<math>\text{(E)} \quad \frac{(ab)^3}{a^3} = b^3</math>
 == Solution ==
-Reviewing the rules of exponents, we see that A, B, and E are false. Expanding C and E, we find that </math>\boxed{\text{(E)}}$ is true.
+Reviewing the rules of exponents, we see that A, B, and E are false. Expanding C and E, we find that <math>\boxed{\text{(E)}}</math> is true.
 == See Also ==
 {{Succession box

1963 TMTA High School Mathematics Contests (Problems)
Preceded by Problem 9	TMTA High School Mathematics Contest Past Problems/Solutions	Followed by Problem 11