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Popular >

simplify (1/16)^{-3/2}

Solution

simplify

(\frac{1}{16})^{- \frac{3}{2}}

Solution

64

Solution steps

(\frac{1}{16})^{- \frac{3}{2}}

Apply exponent rule:

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

(\frac{1}{16})^{- \frac{3}{2}} = \frac{1}{( \frac{1}{16} ) ^{\frac{3}{2}}}

= \frac{1}{( \frac{1}{16} ) ^{\frac{3}{2}}}

(\frac{1}{16})^{\frac{3}{2}} = \frac{1}{64}

= \frac{1}{\frac{1}{64}}

\frac{1}{\frac{1}{64}} = 64

= 64

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Frequently Asked Questions (FAQ)

What is (1/16)^{-3/2} ?
The solution to (1/16)^{-3/2} is 64