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Popular >

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

Solution

simplify

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

Solution

\frac{1}{125 z ^{6}}

Solution steps

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

Apply exponent rule:

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

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

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

Simplify

(25 z^{4})^{\frac{3}{2}} : 125 z^{6}

= \frac{1}{125 z ^{6}}

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Frequently Asked Questions (FAQ)

What is (25z^4)^{-3/2} ?
The solution to (25z^4)^{-3/2} is 1/(125z^6)