What is (18x^3y^5)/(2y)*(xy^2)/(3x^3y^7) ?

The solution to (18x^3y^5)/(2y)*(xy^2)/(3x^3y^7) is (3x)/y

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simplify (18x^3y^5)/(2y)*(xy^2)/(3x^3y^7)

simplify

\frac{18 x ^{3} y ^{5}}{2 y} \cdot \frac{x y ^{2}}{3 x ^{3} y ^{7}}

\frac{3 x}{y}

Solution steps

\frac{18 x ^{3} y ^{5}}{2 y} \cdot \frac{x y ^{2}}{3 x ^{3} y ^{7}}

Cancel

\frac{18 x ^{3} y ^{5}}{2 y} : 9 x^{3} y^{4}

= 9 x^{3} y^{4} \frac{x y ^{2}}{3 x ^{3} y ^{7}}

Cancel

\frac{x y ^{2}}{3 x ^{3} y ^{7}} : \frac{1}{3 x ^{2} y ^{5}}

= 9 x^{3} y^{4} \frac{1}{3 x ^{2} y ^{5}}

Apply the fraction rule:

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

= \frac{9 x ^{3} y ^{4} \cdot 1}{3 x ^{2} y ^{5}}

Multiply the numbers:

9 \cdot 1 = 9

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

Factor the number:

9 = 3 \cdot 3

= \frac{3 \cdot 3 x ^{3} y ^{4}}{3 x ^{2} y ^{5}}

Cancel the common factor:

3

= \frac{3 x ^{3} y ^{4}}{x ^{2} y ^{5}}

Simplify

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

= \frac{3 x y ^{4}}{y ^{5}}

Simplify

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

= \frac{3 x}{y}

\frac{5}{6} \cdot \frac{3}{5}

\frac{112}{3}

\frac{x - 7}{- 5 x + 40} \cdot \frac{x ^{2} - 64}{- 4 x + 28}

(9 x^{2} + 8 x) - (2 x^{2} + 3 x)

(\frac{x ^{- 1} y ^{2} z ^{4}}{z ^{5} x ^{2} y ^{- 1}})^{- 3}

What is (18x^3y^5)/(2y)*(xy^2)/(3x^3y^7) ?
The solution to (18x^3y^5)/(2y)*(xy^2)/(3x^3y^7) is (3x)/y