化简 (-8x^4y)/(24x^9y^8)

解答

化简

\frac{- 8 x ^{4} y}{24 x ^{9} y ^{8}}

- \frac{1}{3 x ^{5} y ^{7}}

求解步骤

\frac{- 8 x ^{4} y}{24 x ^{9} y ^{8}}

使用分式法则:

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

= - \frac{8 x ^{4} y}{24 x ^{9} y ^{8}}

约分:

8

= \frac{x ^{4} y}{3 x ^{9} y ^{8}}

使用指数法则:

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

\frac{x ^{4}}{x ^{9}} = \frac{1}{x ^{9 - 4}}

= \frac{y}{3 y ^{8} x ^{9 - 4}}

数字相减:

9 - 4 = 5

= \frac{y}{3 x ^{5} y ^{8}}

约分:

y

= - \frac{1}{3 x ^{5} y ^{7}}

f a c t or e^{u} - (u - 1) \cdot e^{u}

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

(\frac{1}{N} + \frac{0.0004}{1 - 0.0004 N}) d N = d t

x^{2} - 10 x + 24 > 0

\frac{5 x - 4}{4} = \frac{x - 5}{5}