簡約 (4x^{5/4})(2x^{1/2})

解

簡約

(4 x^{\frac{5}{4}}) (2 x^{\frac{1}{2}})

8 x^{\frac{7}{4}}

解答ステップ

(4 x^{\frac{5}{4}}) (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{5}{4}} x^{\frac{1}{2}} = x^{\frac{5}{4} + \frac{1}{2}}

= 4 \cdot 2 x^{\frac{5}{4} + \frac{1}{2}}

x^{\frac{5}{4} + \frac{1}{2}} = x^{\frac{7}{4}}

= 4 \cdot 2 x^{\frac{7}{4}}

数を乗じる:

4 \cdot 2 = 8

= 8 x^{\frac{7}{4}}