Question

Use the Power Rule of Exponents to simplify the expression (73 4) 5
.

Answer 1

To simplify the expression \((73^4)^5\) using the Power Rule of Exponents, we apply the rule which states that \((a^m)^n = a^{m \cdot n}\).

In this case:

\[
(73^4)^5 = 73^{4 \cdot 5}
\]

Now, calculate \(4 \cdot 5\):

\[
4 \cdot 5 = 20
\]

So the expression simplifies to:

\[
73^{20}
\]

Thus, the simplified expression is \(73^{20}\).