化简 (8/((v^6)))^{(-1)/3}

解答

化简

(\frac{8}{( v ^{6} )})^{\frac{- 1}{3}}

\frac{v ^{2}}{2}

求解步骤

(\frac{8}{v ^{6}})^{\frac{- 1}{3}}

使用指数法则:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

= \frac{8 ^{\frac{- 1}{3}}}{( v ^{6} ) ^{\frac{- 1}{3}}}

8^{\frac{- 1}{3}} = \frac{1}{2}

= \frac{\frac{1}{2}}{( v ^{6} ) ^{\frac{- 1}{3}}}

化简

(v^{6})^{\frac{- 1}{3}} : \frac{1}{v ^{2}}

= \frac{\frac{1}{2}}{\frac{1}{v ^{2}}}

化简

\frac{\frac{1}{2}}{\frac{1}{v ^{2}}} : \frac{v ^{2}}{2}

= \frac{v ^{2}}{2}

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