化简 11.18-(5+y)y((((5+y)y))/(5+2.83y))^{2/3}

解答

化简

11.18 - (5 + y) y (\frac{( ( 5 + y ) y )}{5 + 2.83 y})^{\frac{2}{3}}

11.18 - (5 + y) y (\frac{y ^{2} ( 5 + y ) ^{2}}{( 5 + 2.83 y ) ^{2}})^{\frac{1}{3}}

求解步骤

11.18 - (5 + y) y (\frac{( 5 + y ) y}{5 + 2.83 y})^{\frac{2}{3}}

使用指数法则:

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

(\frac{( 5 + y ) y}{5 + 2.83 y})^{\frac{2}{3}} = \frac{( ( 5 + y ) y ) ^{\frac{2}{3}}}{( 5 + 2.83 y ) ^{\frac{2}{3}}}

= 11.18 - (5 + y) y \frac{( ( 5 + y ) y ) ^{\frac{2}{3}}}{( 5 + 2.83 y ) ^{\frac{2}{3}}}

化简

\frac{( ( 5 + y ) y ) ^{\frac{2}{3}}}{( 5 + 2.83 y ) ^{\frac{2}{3}}} : (\frac{y ^{2} ( 5 + y ) ^{2}}{( 5 + 2.83 y ) ^{2}})^{\frac{1}{3}}

= 11.18 - (5 + y) y (\frac{y ^{2} ( 5 + y ) ^{2}}{( 5 + 2.83 y ) ^{2}})^{\frac{1}{3}}

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