Simplify (sqrt{(frac{-1}{64})^{frac{-2}{3}}}).
-
A.
-4 -
B.
(-frac{1}{4}) -
C.
(frac{1}{8}) -
D.
4
Correct Answer: Option D
Explanation
((frac{-1}{64})^{frac{-2}{3}} = -64^{frac{2}{3}})
((-4^{3})^{frac{2}{3}} = -4^{2} = 16)
(therefore sqrt{(frac{-1}{64})^{frac{-2}{3}} = sqrt{16} = 4)