簡約 (8ab^2)^{-1/2}(8ab^2)^{1/2}

解

簡約

(8 a b^{2})^{- \frac{1}{2}} (8 a b^{2})^{\frac{1}{2}}

1

解答ステップ

(8 a b^{2})^{- \frac{1}{2}} (8 a b^{2})^{\frac{1}{2}}

指数の規則を適用する:

a^{b} \cdot a^{c} = a^{b + c}

(8 a b^{2})^{- \frac{1}{2}} (8 a b^{2})^{\frac{1}{2}} = (8 a b^{2})^{- \frac{1}{2} + \frac{1}{2}}

= (8 a b^{2})^{- \frac{1}{2} + \frac{1}{2}}

類似した元を足す:

- \frac{1}{2} + \frac{1}{2} = 0

= (8 a b^{2})^{0}

指数の規則を適用する:

a^{0} = 1,

, 以下を想定

a \neq = 0

= 1