What is (8xy^3)/(-4xy^2) ?

The solution to (8xy^3)/(-4xy^2) is -2y

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simplify (8xy^3)/(-4xy^2)

simplify

\frac{8 x y ^{3}}{- 4 x y ^{2}}

- 2 y

Solution steps

\frac{8 x y ^{3}}{- 4 x y ^{2}}

Apply the fraction rule:

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

= - \frac{8 x y ^{3}}{4 x y ^{2}}

Divide the numbers:

\frac{8}{4} = 2

= \frac{2 x y ^{3}}{x y ^{2}}

Cancel the common factor:

x

= \frac{2 y ^{3}}{y ^{2}}

Apply exponent rule:

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

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

= 2 y^{3 - 2}

Subtract the numbers:

3 - 2 = 1

= - 2 y

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

∣ 3 c + 4 ∣ > 7

x^{3} - 4 x^{2} - 11 x + 30 > 0

0 \leq x \leq 3

\frac{- m + 6}{m ^{2} - 16} + \frac{2 m - 2}{m ^{2} - 16}