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Popular >

simplify (1/25)^{-3/2}

Solution

simplify

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

Solution

125

Solution steps

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

Apply exponent rule:

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

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

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

(\frac{1}{25})^{\frac{3}{2}} = \frac{1}{125}

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

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

= 125

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Frequently Asked Questions (FAQ)

What is (1/25)^{-3/2} ?
The solution to (1/25)^{-3/2} is 125