Evaluate \( \frac{27^{\frac{1}{3}}}{16^{-\frac{1}{4}}} \)
A
6
B
5
C
4
D
3
E
2
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
\(\frac{27^{\frac{1}{3}}}{16^{-\frac{1}{4}}} \)
= \(\frac{(3^3)^{\frac{1}{3}}}{(2^4)^{-\frac{1}{4}}}\)
= \(\frac{3}{2^{-1}}\)
= 6
Source: Myschool Past Questions Archive (Record #23463)