Question

This module is intended to help you understand fractional exponents. Rewrite the expression below as 8 to a single power: (8^5)^9 =

Answer 1

To rewrite the expression \((8^5)^9\) as \(8\) raised to a single power, you can use the property of exponents that states \((a^m)^n = a^{m \cdot n}\).

Applying this property:

\[
(8^5)^9 = 8^{5 \cdot 9}
\]

Now, calculate \(5 \cdot 9\):

\[
5 \cdot 9 = 45
\]

Thus, the expression can be rewritten as:

\[
(8^5)^9 = 8^{45}
\]

So the final answer is:

\[
8^{45}
\]