(2^-2)^-1

Answer 1

To simplify \((2^{-2})^{-1}\), you can use the exponent rule that states \((a^m)^n = a^{m \cdot n}\).

Applying this rule:

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

Now, calculate \(2^{2}\):

\[ 2^{2} = 4 \]

Thus, \((2^{-2})^{-1} = 4\).