What is ((c^4d^3)/(cd^2))((d^2)/(c^3))^3 ?

The solution to ((c^4d^3)/(cd^2))((d^2)/(c^3))^3 is (d^7)/(c^6)

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simplify ((c^4d^3)/(cd^2))((d^2)/(c^3))^3

simplify

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

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

Solution steps

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

Apply rule:

(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}

Simplify

(\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}}

Cancel

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

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

Apply the fraction rule:

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

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

Simplify

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

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

Simplify

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

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

4 x - 6 > 6

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

2 x - 4 = 2 x - 9

15 x^{2} - 5 x - 10

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

What is ((c^4d^3)/(cd^2))((d^2)/(c^3))^3 ?
The solution to ((c^4d^3)/(cd^2))((d^2)/(c^3))^3 is (d^7)/(c^6)