What is 3/4 x^3(y^3)/((-1/2 x^2y^2)) ?

The solution to 3/4 x^3(y^3)/((-1/2 x^2y^2)) is -(3xy)/2

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simplify 3/4 x^3(y^3)/((-1/2 x^2y^2))

simplify

\frac{3}{4} x^{3} \frac{y ^{3}}{( - \frac{1}{2} x ^{2} y ^{2} )}

- \frac{3 x y}{2}

Solution steps

\frac{3}{4} x^{3} \frac{y ^{3}}{- \frac{1}{2} x ^{2} y ^{2}}

Cancel

\frac{y ^{3}}{- \frac{1}{2} x ^{2} y ^{2}} : - \frac{y \cdot 2}{x ^{2}}

= \frac{3}{4} x^{3} (- \frac{y \cdot 2}{x ^{2}})

Apply rule:

a (- b) = - ab

\frac{3}{4} x^{3} (- \frac{y \cdot 2}{x ^{2}}) = - \frac{3}{4} x^{3} \frac{y \cdot 2}{x ^{2}}

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

Apply the fraction rule:

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

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

Simplify

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

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

m (n + 3) + 5 (n + 3)

12 x + 46 - (3 x + 2)

h^{2} o + h^{2}

(y + z)^{3}

l (\frac{1}{s + 2})^{2} + 16

What is 3/4 x^3(y^3)/((-1/2 x^2y^2)) ?
The solution to 3/4 x^3(y^3)/((-1/2 x^2y^2)) is -(3xy)/2