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:

\[ 8^{45} \]