What is ((-5d)/c)(c/d)^3 ?

The solution to ((-5d)/c)(c/d)^3 is -(5c^2)/(d^2)

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simplify ((-5d)/c)(c/d)^3

simplify

(\frac{- 5 d}{c}) (\frac{c}{d})^{3}

- \frac{5 c ^{2}}{d ^{2}}

Solution steps

(\frac{- 5 d}{c}) (\frac{c}{d})^{3}

Apply rule:

(a) = a

(\frac{- 5 d}{c}) = \frac{- 5 d}{c}

= \frac{- 5 d}{c} (\frac{c}{d})^{3}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

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

= \frac{- 5 d}{c} \cdot \frac{c ^{3}}{d ^{3}}

Apply the fraction rule:

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

\frac{- 5 d}{c} = - \frac{5 d}{c}

= - \frac{5 d}{c} \cdot \frac{c ^{3}}{d ^{3}}

Apply the fraction rule:

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

= - \frac{5 d c ^{3}}{c d ^{3}}

Simplify

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

= - \frac{5 d c ^{2}}{d ^{3}}

Simplify

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

= - \frac{5 c ^{2}}{d ^{2}}

(3 m + 6) (3 m - 4)

(3 x + 1) (x - 3)

(- 2 x^{3})^{4}

x^{4} y^{2} - x^{5} y^{2}

6 (2 a + 4) - 4 (3 a - 4)