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Popular >

simplify (5/b)^{-3}

Solution

simplify

(\frac{5}{b})^{- 3}

Solution

\frac{b ^{3}}{125}

Solution steps

(\frac{5}{b})^{- 3}

Apply exponent rule:

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

(\frac{5}{b})^{- 3} = \frac{1}{( \frac{5}{b} ) ^{3}}

= \frac{1}{( \frac{5}{b} ) ^{3}}

Simplify

(\frac{5}{b})^{3} : \frac{125}{b ^{3}}

= \frac{1}{\frac{125}{b ^{3}}}

Apply the fraction rule:

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

= \frac{b ^{3}}{125}

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Frequently Asked Questions (FAQ)

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