Simplify: (frac{4^{-frac{1}{2}} times 16^{frac{3}{4}}}{4^{frac{1}{2}}})
- A.1/4
-
B.
0 -
C.
1 -
D.
2 -
E.
4
Correct Answer: Option D
Explanation
(frac{4^{-frac{1}{2}} times 16^{frac{3}{4}}}{4^{frac{1}{2}}})
= (frac{16^{frac{3}{4}}}{4^{frac{1}{2}} times 4^{frac{1}{2}}})
= (frac{(2^4)^{frac{3}{4}}}{4^{frac{1}{2}} times 4^{frac{1}{2}}})
= (frac{2^3}{4})
= 2