Question

which expression is equivalent to ( 8^5 )^8 ?

Answer 1

To simplify the expression \( (8^5)^8 \), you can use the power of a power property of exponents, which states that \( (a^m)^n = a^{m \cdot n} \).

Applying this to \( (8^5)^8 \):

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

Now, calculate \( 5 \cdot 8 \):

\[
5 \cdot 8 = 40
\]

So, we have:

\[
(8^5)^8 = 8^{40}
\]

Thus, the expression \( (8^5)^8 \) is equivalent to \( 8^{40} \).