Home » Simplify (left(frac{16}{81}right)^{-frac{3}{4}}times sqrt{frac{100}{81}})

Simplify (left(frac{16}{81}right)^{-frac{3}{4}}times sqrt{frac{100}{81}})

Simplify (left(frac{16}{81}right)^{-frac{3}{4}}times sqrt{frac{100}{81}})
  • A.
    (frac{80}{243})
  • B.
    (frac{1}{64})
  • C.
    (frac{25}{6})
  • D.
    (frac{15}{4})
Correct Answer: Option D
Explanation

(left(frac{16}{81}right)^{-frac{3}{4}}times sqrt{frac{100}{81}}\
frac{1}{left(sqrt[4]{frac{16}{81}}right)^3}times frac{10}{9}=frac{1}{left(frac{2}{3}right)^3}timesfrac{10}{9}\
=frac{27}{8}times frac{10}{9}=frac{15}{4})