簡約 (1/((x^{1/3))+x^{1/2}})^7

解

簡約

\frac{1}{( x ^{\frac{1}{3}} ) + x ^{\frac{1}{2}}}^{7}

\frac{1}{( x ^{\frac{1}{3}} + x ^{\frac{1}{2}} ) ^{7}}

解答ステップ

\frac{1}{( x ^{\frac{1}{3}} ) + x ^{\frac{1}{2}}}^{7}

規則を適用する:

(a) = a

(x^{\frac{1}{3}}) = x^{\frac{1}{3}}

= (\frac{1}{x ^{\frac{1}{3}} + x ^{\frac{1}{2}}})^{7}

指数の規則を適用する:

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

= \frac{1 ^{7}}{( x ^{\frac{1}{3}} + x ^{\frac{1}{2}} ) ^{7}}

1^{7} = 1

= \frac{1}{( x ^{\frac{1}{3}} + x ^{\frac{1}{2}} ) ^{7}}