簡約 ((c^4d^3)/(cd^2))((d^2)/(c^3))^3

解

簡約

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

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

解答ステップ

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

規則を適用する:

(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}

簡素化

(\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}}

キャンセル

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

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

分数の規則を適用する:

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

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

簡素化

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

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

簡素化

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

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