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Popular >

simplify ((2c)/5)^{-3}

Solution

simplify

(\frac{2 c}{5})^{- 3}

Solution

\frac{125}{8 c ^{3}}

Solution steps

(\frac{2 c}{5})^{- 3}

Apply exponent rule:

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

(\frac{2 c}{5})^{- 3} = \frac{1}{( \frac{2 c}{5} ) ^{3}}

= \frac{1}{( \frac{2 c}{5} ) ^{3}}

Simplify

(\frac{2 c}{5})^{3} : \frac{8 c ^{3}}{125}

= \frac{1}{\frac{8 c ^{3}}{125}}

Apply the fraction rule:

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

= \frac{125}{8 c ^{3}}

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Frequently Asked Questions (FAQ)

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