化简-4a(a^{-1}b^2)^3

解答

化简

- 4 a \cdot (a^{- 1} \cdot b^{2})^{3}

- \frac{4 b ^{6}}{a ^{2}}

求解步骤

- 4 a (a^{- 1} b^{2})^{3}

化简

(a^{- 1} b^{2})^{3} : \frac{b ^{6}}{a ^{3}}

= - 4 a \frac{b ^{6}}{a ^{3}}

使用分式法则:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{4 a b ^{6}}{a ^{3}}

化简

\frac{a}{a ^{3}} : \frac{1}{a ^{2}}

= - \frac{4 b ^{6}}{a ^{2}}

s im pl i f y (54 y^{19} z^{3})^{\frac{1}{3}}

s im pl i f y \frac{3}{x} + \frac{2}{x}

f a c t or a^{3} - a^{2} \cdot x + a \cdot x^{2}

e x p an d 1 + x^{3} \cdot (1 - x)^{2}

f a c t or 36 x^{2} - 81 y^{2}