化简 (x^{4/3})(x^{-2/5})(x^{3/5})

解答

化简

(x^{\frac{4}{3}}) (x^{- \frac{2}{5}}) (x^{\frac{3}{5}})

x^{\frac{23}{15}}

求解步骤

(x^{\frac{4}{3}}) (x^{- \frac{2}{5}}) (x^{\frac{3}{5}})

化简

(x^{\frac{4}{3}}) (x^{- \frac{2}{5}}) (x^{\frac{3}{5}}) : x^{\frac{4}{3}} x^{- \frac{2}{5}} x^{\frac{3}{5}}

= x^{\frac{4}{3}} x^{- \frac{2}{5}} x^{\frac{3}{5}}

使用指数法则:

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

x^{\frac{4}{3}} x^{- \frac{2}{5}} x^{\frac{3}{5}} = x^{\frac{4}{3} - \frac{2}{5} + \frac{3}{5}}

= x^{\frac{4}{3} - \frac{2}{5} + \frac{3}{5}}

\frac{4}{3} - \frac{2}{5} + \frac{3}{5} = \frac{23}{15}

= x^{\frac{23}{15}}

\frac{1}{2} - x < 2

f a c t or 12 x y^{2} - 108 x

f a c t or 8 + x^{3}

- (y - 3) y = 0

f a c t or 8 x^{9} + (x - y)^{6}