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Popular >

simplify (25/4)^{-3/2}

Solution

simplify

(\frac{25}{4})^{- \frac{3}{2}}

Solution

\frac{8}{125}

+1

Decimal Notation

0.064

Solution steps

(\frac{25}{4})^{- \frac{3}{2}}

Apply exponent rule:

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

(\frac{25}{4})^{- \frac{3}{2}} = \frac{1}{( \frac{25}{4} ) ^{\frac{3}{2}}}

= \frac{1}{( \frac{25}{4} ) ^{\frac{3}{2}}}

(\frac{25}{4})^{\frac{3}{2}} = \frac{125}{8}

= \frac{1}{\frac{125}{8}}

Apply the fraction rule:

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

= \frac{8}{125}

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Frequently Asked Questions (FAQ)

What is (25/4)^{-3/2} ?
The solution to (25/4)^{-3/2} is 8/125