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Popular >

simplify (8/125)^{(-1)/3}

Solution

simplify

(\frac{8}{125})^{\frac{- 1}{3}}

Solution

\frac{5}{2}

+1

Decimal Notation

2.5

Solution steps

(\frac{8}{125})^{\frac{- 1}{3}}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{8 ^{\frac{- 1}{3}}}{12 5 ^{\frac{- 1}{3}}}

8^{\frac{- 1}{3}} = \frac{1}{2}

= \frac{\frac{1}{2}}{12 5 ^{\frac{- 1}{3}}}

12 5^{\frac{- 1}{3}} = \frac{1}{5}

= \frac{\frac{1}{2}}{\frac{1}{5}}

\frac{\frac{1}{2}}{\frac{1}{5}} = \frac{5}{2}

= \frac{5}{2}

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Frequently Asked Questions (FAQ)

What is (8/125)^{(-1)/3} ?
The solution to (8/125)^{(-1)/3} is 5/2