Question

Enter the correct answer in the box.Simplify the expression (6^2)^4.Explain the concept and answer in-depth, please. Not trying to just get the answer; trying to understand how to solve the problem in the future too. Thank you.

Answer 1

Solution:

Given the expression:

$(6^2)^4$

To simplify, recall from the laws of exponent:

$(a^x)^y=a^{(x\times y)}$

Thus, we have

$\begin{gathered} \left(6^2\right)^4=6^{(2\times4)} \\ =6^8 \end{gathered}$

Hence, the expression is simplified to be

$6^8$