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Evaluate the expression:

(2^-2) ^-2

A. 1/6





B. 2

C. 8

D. 16

1 answer

To evaluate the expression \((2^{-2})^{-2}\), we can apply the property of exponents which states that \((a^m)^n = a^{m \cdot n}\).

  1. Start with the inner expression: \[ 2^{-2} \]

  2. Now apply the outer exponent: \[ (2^{-2})^{-2} = 2^{-2 \cdot -2} = 2^{4} \]

  3. Calculate \(2^{4}\): \[ 2^{4} = 16 \]

Therefore, the result of \((2^{-2})^{-2} = 16\).

The answer is:

D. 16