Question

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

Answer 1

To simplify the expression \((7^3)^4\)^5 using the Power Rule of Exponents, you apply the rule that states \((a^m)^n = a^{m \cdot n}\).

Here, we have:

\[
(7^3)^{4 \cdot 5} = 7^{3 \cdot (4 \cdot 5)}
\]

Calculating \(4 \cdot 5\):

\[
4 \cdot 5 = 20
\]

Now, substituting back into the expression:

\[
(7^3)^{20} = 7^{3 \cdot 20} = 7^{60}
\]

Thus, the simplified form of the expression \((7^3)^4\)^5 is:

\[
7^{60}
\]