Home ยป Simplify (frac{8^{frac{2}{3}}*27^{frac{-1}{3}}}{64^{frac{1}{3}}})

Simplify (frac{8^{frac{2}{3}}*27^{frac{-1}{3}}}{64^{frac{1}{3}}})

Simplify (frac{8^{frac{2}{3}}*27^{frac{-1}{3}}}{64^{frac{1}{3}}})
  • A.
    -3
  • B.
    (frac{1}{9})
  • C.
    (frac{1}{3})
  • D.
    (frac{27}{8})
  • E.
    4
Correct Answer: Option C
Explanation

(frac{8^{frac{2}{3}}*27^{frac{-1}{3}}}{64^{frac{1}{3}}})
(frac{2^2*3^{-3}}{4} = 3^{-1} = frac{1}{3})