Evaluate the expression: (2^-2)^-2

Question

A. 1/16
B. 2
C. 8
D. 16

Answer 1

A. 1/16

First, simplify the exponent of the parenthesis:

(2^-2)^-2
= (1/2^2)^-2
= (1/4)^-2

Now, apply the negative exponent:

(1/4)^-2
= 4^2
= 16

Therefore, the expression simplifies to 1/16, so the correct option is A. 1/16.