化简 (1/((x^{1/3))+x^{1/2}})^7

解答

化简

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

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

求解步骤

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

使用法则:

(a) = a

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

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

使用指数法则:

(\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}}

e x p an d (4 x + 6 y)^{3}

s im pl i f y \frac{2 x 1 0 ^{21}}{1 0 ^{- 2}}

s im pl i f y \frac{1}{( 2 x )} - \frac{1}{( 2 ^{\frac{3}{2}} )}

s im pl i f y a (a + 1) (a + 2) (a + 3) - 15

s im pl i f y 3 \frac{x ^{2}}{x} + \frac{2}{6} \frac{x ^{4}}{( x ^{2} + 5 x + 6 )}