Question

Which of the following is equal to the expression below?
(6^-8)^4

Answer 1

To simplify the expression \((6^{-8})^4\), we can use the power of a power property of exponents, which states that \((a^m)^n = a^{m \cdot n}\).

Applying this property to our expression:

\[
(6^{-8})^4 = 6^{-8 \cdot 4} = 6^{-32}
\]

Thus, the expression \((6^{-8})^4\) is equal to \(6^{-32}\).