Home » Simplify ((frac{16}{81})^{frac{1}{4}} div (frac{9}{16})^{-frac{1}{2}})

Simplify ((frac{16}{81})^{frac{1}{4}} div (frac{9}{16})^{-frac{1}{2}})

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})

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