簡約 (25x)^{1/2}(x^{1/2})

解

簡約

(25 x)^{\frac{1}{2}} (x^{\frac{1}{2}})

5 x

解答ステップ

(25 x)^{\frac{1}{2}} (x^{\frac{1}{2}})

規則を適用する:

(a) = a

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

= (25 x)^{\frac{1}{2}} x^{\frac{1}{2}}

簡素化

(25 x)^{\frac{1}{2}} : 5 x^{\frac{1}{2}}

= 5 x^{\frac{1}{2}} x^{\frac{1}{2}}

指数の規則を適用する:

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

x^{\frac{1}{2}} x^{\frac{1}{2}} = x^{\frac{1}{2} + \frac{1}{2}}

= 5 x^{\frac{1}{2} + \frac{1}{2}}

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

= 5 x^{1}

指数の規則を適用する:

a^{1} = a

x^{1} = x

= 5 x