展开 1/((1-5x)^{-1/4)}

解答

展开

\frac{1}{( 1 - 5 x ) ^{- \frac{1}{4}}}

(1 - 5 x)^{\frac{1}{4}}

求解步骤

\frac{1}{( 1 - 5 x ) ^{- \frac{1}{4}}}

使用指数法则:

a^{- b} = \frac{1}{a ^{b}}

(1 - 5 x)^{- \frac{1}{4}} = \frac{1}{( 1 - 5 x ) ^{\frac{1}{4}}}

= \frac{1}{\frac{1}{( 1 - 5 x ) ^{\frac{1}{4}}}}

使用分式法则:

\frac{1}{\frac{b}{c}} = \frac{c}{b}

= \frac{( 1 - 5 x ) ^{\frac{1}{4}}}{1}

使用分式法则:

\frac{a}{1} = a

= (1 - 5 x)^{\frac{1}{4}}

e x p an d (sin (a) + cos (b)) (sin (b) + cos (a))

e x p an d p^{\frac{1}{4}} (p^{\frac{3}{4}} + 3 p^{\frac{7}{4}})

e x p an d A (- 2, 22) B (13, - 19)

e x p an d x (x + 1) (x + 2) (x + 3) + 1

e x p an d \frac{π t ( 3 + 2 n )}{6}