Evaluate the expression. (Simplify your answer fully. Unsimplified or decimal answers will be graded as incorrect.)

[(-1/2)^-2]^3

2 answers

[(-1/2)^-2]^3

(1/(-1/2)^2)^3 = 1/(1/4)^3 = 1/(1/64)=64
-Distribute the ^-2 to both the numerator and denominator first
[(-1)^-2/(2)^-2]^3
-Simply the exponents within the parenthesis second
[1/(1/4)]^3
-Simplify within the parenthesis
[4]^3
-simplify
64