Question

(125/64)-1/3 as a radical -1/3 is square it should be and the top of 64 outside the bracket

Answer 1

9514 1404 393

Answer:

  ∛(64/125) = 4/5

Step-by-step explanation:

Maybe you want to express ...

  $\displaystyle\left(\frac{125}{64}\right)^{-\frac{1}{3}}=\left(\frac{64}{125}\right)^{\frac{1}{3}}=\boxed{\sqrt[3]{\frac{64}{125}}}$

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The denominator of the fractional exponent is the index of the radical. The other applicable rule of exponents here is a^-b = 1/a^b.