Which of the following is equal to the expression below?

Question

`(2^{-4})^{2}`

Answer 1

To simplify the expression \((2^{-4})^{2}\), 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:

\[ (2^{-4})^{2} = 2^{-4 \cdot 2} = 2^{-8} \]

Thus, the expression \((2^{-4})^{2}\) is equal to \(2^{-8}\).