What is ((5d^{-3})^2)/(-20d^{-10)} ?

The solution to ((5d^{-3})^2)/(-20d^{-10)} is -(5d^4)/4

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simplify ((5d^{-3})^2)/(-20d^{-10)}

simplify

\frac{( 5 d ^{- 3} ) ^{2}}{- 20 d ^{- 10}}

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

Solution steps

\frac{( 5 d ^{- 3} ) ^{2}}{- 20 d ^{- 10}}

Simplify

(5 d^{- 3})^{2} : 5^{2} \cdot \frac{1}{d ^{6}}

= \frac{5 ^{2} \cdot \frac{1}{d ^{6}}}{- 20 d ^{- 10}}

Factor the number:

20 = 5 \cdot 4

= \frac{5 ^{2} \cdot \frac{1}{d ^{6}}}{- 5 \cdot 4 d ^{- 10}}

\frac{5 ^{2}}{5} = 5

= \frac{5 \cdot \frac{1}{d ^{6}}}{- 4 d ^{- 10}}

Simplify

\frac{5 \cdot \frac{1}{d ^{6}}}{- 4 d ^{- 10}} : - \frac{5 d ^{4}}{4}

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

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y - (- 3)

\frac{2 x ^{3} - 9 x ^{2} + 13 x - 6}{2 x - 3}

What is ((5d^{-3})^2)/(-20d^{-10)} ?
The solution to ((5d^{-3})^2)/(-20d^{-10)} is -(5d^4)/4