Simplify: \((\frac{1}{4})^{-1\frac{1}{2}}\)
A
1/8
B
1/4
C
2
D
4
E
8
Verified Correct Answer: E.
Step-by-Step Mathematical Solution
\((\frac{1}{4})^{-1\frac{1}{2}}\)
= \((\frac{1}{4})^{-\frac{3}{2}}\)
= \((\sqrt{\frac{1}{4}})^{-3}\)
= \((\frac{1}{2})^{-3}\)
= \(2^3\)
= 8
Source: Myschool Past Questions Archive (Record #22868)