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Popular >

simplify (8/125)^{-4/3}

Solution

simplify

(\frac{8}{125})^{- \frac{4}{3}}

Solution

\frac{625}{16}

+1

Decimal Notation

39.0625

Solution steps

(\frac{8}{125})^{- \frac{4}{3}}

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

(\frac{8}{125})^{- \frac{4}{3}} = \frac{1}{( \frac{8}{125} ) ^{\frac{4}{3}}}

= \frac{1}{( \frac{8}{125} ) ^{\frac{4}{3}}}

(\frac{8}{125})^{\frac{4}{3}} = \frac{16}{625}

= \frac{1}{\frac{16}{625}}

Apply the fraction rule:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{625}{16}

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Frequently Asked Questions (FAQ)

What is (8/125)^{-4/3} ?
The solution to (8/125)^{-4/3} is 625/16