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受欢迎的代数 >

化简 ((c^4d^3)/(cd^2))((d^2)/(c^3))^3

解答

化简

(\frac{c ^{4} d ^{3}}{c d ^{2}}) (\frac{d ^{2}}{c ^{3}})^{3}

解答

\frac{d ^{7}}{c ^{6}}

求解步骤

(\frac{c ^{4} d ^{3}}{c d ^{2}}) (\frac{d ^{2}}{c ^{3}})^{3}

使用法则:

(a) = a

(\frac{c ^{4} d ^{3}}{c d ^{2}}) = \frac{c ^{4} d ^{3}}{c d ^{2}}

= \frac{c ^{4} d ^{3}}{c d ^{2}} (\frac{d ^{2}}{c ^{3}})^{3}

化简

(\frac{d ^{2}}{c ^{3}})^{3} : \frac{d ^{6}}{c ^{9}}

= \frac{c ^{4} d ^{3}}{c d ^{2}} \cdot \frac{d ^{6}}{c ^{9}}

消掉

\frac{c ^{4} d ^{3}}{c d ^{2}} : c^{3} d

= c^{3} d \frac{d ^{6}}{c ^{9}}

使用分式法则:

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

= \frac{c ^{3} d d ^{6}}{c ^{9}}

化简

\frac{c ^{3}}{c ^{9}} : \frac{1}{c ^{6}}

= \frac{d d ^{6}}{c ^{6}}

化简

d d^{6} : d^{7}

= \frac{d ^{7}}{c ^{6}}

流行的例子

4 x - 6 > 6

- \frac{3 u}{4} = - 9

2 x - 4 = 2 x - 9

因式分解 15x^2-5x-10

f a c t or 15 x^{2} - 5 x - 10

2+3[x-(3x+1)]=5[x-(2x-1)]

2 + 3 [x - (3 x + 1)] = 5 [x - (2 x - 1)]