What is (4x^2y^2)/(6x^2y^3)*(5a^2b^4)/(2ab^3) ?

The solution to (4x^2y^2)/(6x^2y^3)*(5a^2b^4)/(2ab^3) is (5ab)/(3y)

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simplify (4x^2y^2)/(6x^2y^3)*(5a^2b^4)/(2ab^3)

simplify

\frac{4 x ^{2} y ^{2}}{6 x ^{2} y ^{3}} \cdot \frac{5 a ^{2} b ^{4}}{2 a b ^{3}}

\frac{5 ab}{3 y}

Solution steps

\frac{4 x ^{2} y ^{2}}{6 x ^{2} y ^{3}} \cdot \frac{5 a ^{2} b ^{4}}{2 a b ^{3}}

Cancel

\frac{4 x ^{2} y ^{2}}{6 x ^{2} y ^{3}} : \frac{2}{3 y}

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

Cancel

\frac{5 a ^{2} b ^{4}}{2 a b ^{3}} : \frac{5 ab}{2}

= \frac{2}{3 y} \cdot \frac{5 ab}{2}

Cross-cancel common factor:

2

= \frac{5 ab}{3 y}

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

- 4 x + 2 - x^{2} + 2 x - 5 + 3 x^{2}

5 + \frac{11}{12}

(4 x y)^{2} (4 x y)^{3}

- 4 \cdot 0

What is (4x^2y^2)/(6x^2y^3)*(5a^2b^4)/(2ab^3) ?
The solution to (4x^2y^2)/(6x^2y^3)*(5a^2b^4)/(2ab^3) is (5ab)/(3y)