簡約 ((x(x^2-4)^{1/2})/2)^2

解

簡約

\frac{x ( x ^{2} - 4 ) ^{\frac{1}{2}}}{2}^{2}

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

解答ステップ

\frac{x ( x ^{2} - 4 ) ^{\frac{1}{2}}}{2}^{2}

指数の規則を適用する:

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

= \frac{( x ( x ^{2} - 4 ) ^{\frac{1}{2}} ) ^{2}}{2 ^{2}}

2^{2} = 4

= \frac{( x ( x ^{2} - 4 ) ^{\frac{1}{2}} ) ^{2}}{4}

(x (x^{2} - 4)^{\frac{1}{2}})^{2} = x^{2} (x^{2} - 4)

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