What is ((-4q^3)^2)/(-2q^9) ?

The solution to ((-4q^3)^2)/(-2q^9) is -8/(q^3)

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simplify ((-4q^3)^2)/(-2q^9)

simplify

\frac{( - 4 q ^{3} ) ^{2}}{- 2 q ^{9}}

- \frac{8}{q ^{3}}

Solution steps

\frac{( - 4 q ^{3} ) ^{2}}{- 2 q ^{9}}

(- 4 q^{3})^{2} = (4 q^{3})^{2}

= \frac{( 4 q ^{3} ) ^{2}}{- 2 q ^{9}}

Apply the fraction rule:

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

= - \frac{( 4 q ^{3} ) ^{2}}{2 q ^{9}}

Cancel

\frac{( 4 q ^{3} ) ^{2}}{2 q ^{9}} : \frac{2 ^{3}}{q ^{3}}

= - \frac{2 ^{3}}{q ^{3}}

2^{3} = 8

= - \frac{8}{q ^{3}}

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