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\((\frac{1}{216})^{-\frac{2}{3}}\div(\frac{1}{27})^{-\frac{4}{3}}=?\)

  • A.3/4
  • B.2/3
  • C.4/9
  • D.1/8

Answer: C

\((\frac{1}{216})^{-\frac{2}{3}}\div(\frac{1}{27})^{-\frac{4}{3}} \)

\(= 216^{\frac{2}{3}}\div27^{\frac{4}{3}} \)

\(= (63)^{\frac{2}{3}}\div(33)^{\frac{4}{3}} \)

\(= \frac{4}{9}\)

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