Simplify ((frac{16}{81})^{frac{1}{4}} div (frac{9}{16})^{-frac{1}{2}})
-
A.
(frac{2}{3}) -
B.
(frac{1}{2}) -
C.
(frac{8}{9}) -
D.
(frac{1}{3})
Correct Answer: Option B
Explanation
((frac{16}{81})^{frac{1}{4}} div (frac{9}{16})^{-frac{1}{2}})
((frac{16}{81})^{frac{1}{4}} div (frac{16}{9})^{frac{1}{2}})
((frac{2^4}{3^4})^{frac{1}{4}} div (frac{4^2}{3^2})^{frac{1}{2}})
(frac{2^{4 times frac{1}{4}}}{3^{4 times frac{1}{4}}} div frac{4^{2 times frac{1}{2}}}{3^{2 times frac{1}{2}}})
(frac{2}{3} div frac{4}{3})
(frac{2}{3} times frac{3}{4})
(frac{2}{4})
(frac{1}{2})