Question

Use the Power Rule of Exponents to simplify the expression (6^2)^4
.

Answer 1

To simplify the expression \((6^2)^4\) using the Power Rule of Exponents, we apply the rule that states \((a^m)^n = a^{m \cdot n}\).

In this case:

\[
(6^2)^4 = 6^{2 \cdot 4}
\]

Now, calculate the exponent:

\[
2 \cdot 4 = 8
\]

Thus, we can simplify the expression to:

\[
(6^2)^4 = 6^8
\]

So, the simplified expression is \(6^8\).