簡約 (p^{10}r^{-5})^{1/5}

解

簡約

(p^{10} r^{- 5})^{\frac{1}{5}}

\frac{p ^{2}}{r}

解答ステップ

(p^{10} r^{- 5})^{\frac{1}{5}}

指数の規則を適用する:

(a \cdot b)^{n} = a^{n} b^{n}

(p^{10} r^{- 5})^{\frac{1}{5}} = (p^{10})^{\frac{1}{5}} (r^{- 5})^{\frac{1}{5}}

= (p^{10})^{\frac{1}{5}} (r^{- 5})^{\frac{1}{5}}

簡素化

(p^{10})^{\frac{1}{5}} : p^{2}

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

簡素化

(r^{- 5})^{\frac{1}{5}} : \frac{1}{r}

= p^{2} \frac{1}{r}

簡素化

p^{2} \frac{1}{r} : \frac{p ^{2}}{r}

= \frac{p ^{2}}{r}