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

Given the expression:

`(6^2)^4`

To simplify, recall from the laws of exponent:

`(a^x)^y=a^((x* y))`

Thus, we have

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

Hence, the expression is simplified to be

`6^8`