Question

Which expression is equivalent to left parenthesis, 6, to the power minus 1 , right parenthesis, to the power minus 2 , question mark(6
−1
)
−2
?

Answer 1

To simplify the expression \((6^{-1})^{-2}\), we can start by using the property of exponents that states \((a^m)^n = a^{m \cdot n}\).

Applying this to our expression:

\[
(6^{-1})^{-2} = 6^{-1 \cdot -2} = 6^{2}
\]

Since \(6^2 = 36\), we conclude that:

\[
(6^{-1})^{-2} = 36
\]

Thus, the expression \((6^{-1})^{-2}\) is equivalent to \(36\).