Which expression is equivalent to left parenthesis, 6, to the power minus 1 , right parenthesis, squared, question mark(6

Question

−1
)
2
?

Answer 1

To simplify the expression \( (6^{-1})^2 \), you can use the power of a power property of exponents, which states that \( (a^m)^n = a^{m \cdot n} \).

Applying this rule:

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

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