簡約 (sqrt(4-x^2))^4

解

簡約

(4 - x^{2})^{4}

(4 - x^{2})^{2}

解答ステップ

(4 - x^{2})^{4}

4

を書き換え

2 \cdot 2

= (4 - x^{2})^{2 \cdot 2}

指数の規則を適用する:

a^{b c} = (a^{b})^{c},

, 以下を想定

a \geq 0

(4 - x^{2})^{2 \cdot 2} = ((4 - x^{2})^{2})^{2}

= ((4 - x^{2})^{2})^{2}

指数の規則を適用する:

(n a)^{n} = a,

, 以下を想定

n i s o dd or a \geq 0

(4 - x^{2})^{2} = 4 - x^{2}

= (4 - x^{2})^{2}