What is (-5d^{-3})/(-4(d^{-5))^3} ?

The solution to (-5d^{-3})/(-4(d^{-5))^3} is (5d^{12})/4

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simplify (-5d^{-3})/(-4(d^{-5))^3}

simplify

\frac{- 5 d ^{- 3}}{- 4 ( d ^{- 5} ) ^{3}}

\frac{5 d ^{12}}{4}

Solution steps

\frac{- 5 d ^{- 3}}{- 4 ( d ^{- 5} ) ^{3}}

Apply the fraction rule:

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

= \frac{5 d ^{- 3}}{4 ( d ^{- 5} ) ^{3}}

Simplify

5 d^{- 3} : \frac{5}{d ^{3}}

= \frac{\frac{5}{d ^{3}}}{4 ( d ^{- 5} ) ^{3}}

Apply the fraction rule:

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

= \frac{5}{d ^{3} \cdot 4 ( d ^{- 5} ) ^{3}}

Simplify

d^{3} \cdot 4 (d^{- 5})^{3} : \frac{4}{d ^{12}}

= \frac{5}{\frac{4}{d ^{12}}}

Apply the fraction rule:

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

= \frac{5 d ^{12}}{4}

\frac{x ^{2} - 9}{x ^{2} - 5 x + 6}

2 \cdot 3^{2} \cdot 5^{5}

\frac{1 0 ^{8} ( 1 0 ^{- 5} )}{1 0 ^{- 6}}

- 8108 + 12

\frac{1}{5} \times 2

What is (-5d^{-3})/(-4(d^{-5))^3} ?
The solution to (-5d^{-3})/(-4(d^{-5))^3} is (5d^{12})/4