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Popular >

simplify (u^7v^9)^{-1/3}

Solution

simplify

(u^{7} v^{9})^{- \frac{1}{3}}

Solution

\frac{1}{u ^{\frac{7}{3}} v ^{3}}

Solution steps

(u^{7} v^{9})^{- \frac{1}{3}}

Apply exponent rule:

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

(u^{7} v^{9})^{- \frac{1}{3}} = \frac{1}{( u ^{7} v ^{9} ) ^{\frac{1}{3}}}

= \frac{1}{( u ^{7} v ^{9} ) ^{\frac{1}{3}}}

Simplify

(u^{7} v^{9})^{\frac{1}{3}} : u^{\frac{7}{3}} v^{3}

= \frac{1}{u ^{\frac{7}{3}} v ^{3}}

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Frequently Asked Questions (FAQ)

What is (u^7v^9)^{-1/3} ?
The solution to (u^7v^9)^{-1/3} is 1/(u^{7/3)v^3}