What is (10x^2y^3)/(4x^5y^2) ?

The solution to (10x^2y^3)/(4x^5y^2) is (5y)/(2x^3)

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simplify (10x^2y^3)/(4x^5y^2)

simplify

\frac{10 x ^{2} y ^{3}}{4 x ^{5} y ^{2}}

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

Solution steps

\frac{10 x ^{2} y ^{3}}{4 x ^{5} y ^{2}}

Factor the number:

10 = 2 \cdot 5

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

Simplify

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

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

Simplify

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

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

(2 t cos (t) - t^{2} sin (t))^{2}

\frac{x}{4} y \frac{3}{8}

(5 x + 5)^{3}

\frac{9}{10} - \frac{7}{8}

\frac{1}{2} \times 2

What is (10x^2y^3)/(4x^5y^2) ?
The solution to (10x^2y^3)/(4x^5y^2) is (5y)/(2x^3)