Question

Which expression is equivalent to (5^1)^8?

1/5^8
1/5^9
5^8
5^9

Answer 1

To simplify the expression \((5^1)^8\), you can use the power of a power property of exponents, which states that \((a^m)^n = a^{m \cdot n}\).

Applying this property:

\[
(5^1)^8 = 5^{1 \cdot 8} = 5^8
\]

So, the expression equivalent to \((5^1)^8\) is:

\[
\boxed{5^8}
\]