化简 \sqrt[6]{x}*sqrt(x)

解答

化简

6 x \cdot x

3 x^{2}

求解步骤

6 x x

6 x = x^{\frac{1}{6}}

x = x^{\frac{1}{2}}

= x^{\frac{1}{6}} x^{\frac{1}{2}}

使用指数法则:

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

x^{\frac{1}{6}} x^{\frac{1}{2}} = x^{\frac{1}{6} + \frac{1}{2}}

= x^{\frac{1}{6} + \frac{1}{2}}

\frac{1}{6} + \frac{1}{2} = \frac{2}{3}

= x^{\frac{2}{3}}

x^{\frac{2}{3}} = 3 x^{2}

= 3 x^{2}

s im pl i f y (5 - 21)^{6}

s im pl i f y 125

s im pl i f y \frac{1}{1 \cdot 2 π} e^{- \frac{( 3 - 0 ) ^{2}}{2 \cdot 1 ^{2}}}

s im pl i f y \frac{- 21}{3}

s im pl i f y e^{- (2)^{2}}