Question

Which of the following is true?

• A. $7^{3} = (7^{3})^{2}$
• B. $7^{3}>(7^{3})^{2}$
• C. $7^{3}<(7^{3})^{2}$
• D. None of these

Hint:

For $a>1$, raising to a higher power increases the value.

Answer 1

The Correct Option is C

$7^{3} = 343$, $(7^{3})^{2} = 343^{2} = 117{,}649$. Clearly $343<117{,}649$, so $7^{3}<(7^{3})^{2}$.