Asked by Slim Shady
Evaluate the expression:(2^-2)^-2
A. 1/16
B. 2
C. 8
D. 16
A. 1/16
B. 2
C. 8
D. 16
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To evaluate the expression \((2^{-2})^{-2}\), we can use the property of exponents that states \((a^m)^n = a^{m \cdot n}\).
Applying this property:
\[
(2^{-2})^{-2} = 2^{-2 \cdot -2} = 2^{4}
\]
Now, calculate \(2^4\):
\[
2^4 = 16
\]
Thus, the value of the expression \((2^{-2})^{-2}\) is \(16\).
The correct answer is **D. 16**.
Applying this property:
\[
(2^{-2})^{-2} = 2^{-2 \cdot -2} = 2^{4}
\]
Now, calculate \(2^4\):
\[
2^4 = 16
\]
Thus, the value of the expression \((2^{-2})^{-2}\) is \(16\).
The correct answer is **D. 16**.
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