化简 x^{1/3}*x^{1/5}

解答

化简

x^{\frac{1}{3}} \cdot x^{\frac{1}{5}}

x^{\frac{8}{15}}

求解步骤

x^{\frac{1}{3}} x^{\frac{1}{5}}

使用指数法则:

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

x^{\frac{1}{3}} x^{\frac{1}{5}} = x^{\frac{1}{3} + \frac{1}{5}}

= x^{\frac{1}{3} + \frac{1}{5}}

\frac{1}{3} + \frac{1}{5} = \frac{8}{15}

= x^{\frac{8}{15}}

s im pl i f y \frac{5}{8} + \frac{5}{8}

- (1 - 5 x) + 8 = - 17 + 2 x

f a c t or 2^{n + 1} - 2^{n + 3}

s im pl i f y \frac{2}{x} \cdot \frac{5}{y}

\frac{x + 1}{10 x + 1} \geq \frac{1}{x + 5}