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Popular >

simplify (1/4)^{-5/2}

Solution

simplify

(\frac{1}{4})^{- \frac{5}{2}}

Solution

32

Solution steps

(\frac{1}{4})^{- \frac{5}{2}}

Apply exponent rule:

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

(\frac{1}{4})^{- \frac{5}{2}} = \frac{1}{( \frac{1}{4} ) ^{\frac{5}{2}}}

= \frac{1}{( \frac{1}{4} ) ^{\frac{5}{2}}}

(\frac{1}{4})^{\frac{5}{2}} = \frac{1}{32}

= \frac{1}{\frac{1}{32}}

\frac{1}{\frac{1}{32}} = 32

= 32

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Frequently Asked Questions (FAQ)

What is (1/4)^{-5/2} ?
The solution to (1/4)^{-5/2} is 32