What is (-4x^2y^5z^3)/(2xy^9z^3) ?

The solution to (-4x^2y^5z^3)/(2xy^9z^3) is -(2x)/(y^4)

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simplify (-4x^2y^5z^3)/(2xy^9z^3)

simplify

\frac{- 4 x ^{2} y ^{5} z ^{3}}{2 x y ^{9} z ^{3}}

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

Solution steps

\frac{- 4 x ^{2} y ^{5} z ^{3}}{2 x y ^{9} z ^{3}}

Cancel the common factor:

z^{3}

= \frac{- 4 x ^{2} y ^{5}}{2 x y ^{9}}

Factor the number:

4 = 2 \cdot 2

= \frac{- 2 \cdot 2 x ^{2} y ^{5}}{2 x y ^{9}}

Cancel the common factor:

2

= \frac{- 2 x ^{2} y ^{5}}{x y ^{9}}

Simplify

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

= \frac{- 2 x y ^{5}}{y ^{9}}

Simplify

\frac{y ^{5}}{y ^{9}} : \frac{1}{y ^{4}}

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

Apply the fraction rule:

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

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

- \frac{2}{2}

- 1^{- 1}

\frac{21}{2}

1 \frac{3}{4}

(x - 3) (x - 4)

What is (-4x^2y^5z^3)/(2xy^9z^3) ?
The solution to (-4x^2y^5z^3)/(2xy^9z^3) is -(2x)/(y^4)