What is ((9x^2}{4y^3})(\frac{2y^2)/x) ?

The solution to ((9x^2}{4y^3})(\frac{2y^2)/x) is (9x)/(2y)

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simplify ((9x^2}{4y^3})(\frac{2y^2)/x)

simplify

(\frac{9 x ^{2}}{4 y ^{3}}) (\frac{2 y ^{2}}{x})

\frac{9 x}{2 y}

Solution steps

(\frac{9 x ^{2}}{4 y ^{3}}) (\frac{2 y ^{2}}{x})

Simplify

(\frac{9 x ^{2}}{4 y ^{3}}) (\frac{2 y ^{2}}{x}) : \frac{9 x ^{2}}{4 y ^{3}} \cdot \frac{2 y ^{2}}{x}

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

Apply the fraction rule:

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

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

Factor the number:

4 = 2 \cdot 2

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

Cancel the common factor:

2

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

Simplify

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

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

Simplify

\frac{y ^{2}}{y ^{3}} : \frac{1}{y}

= \frac{9 x}{2 y}

\frac{cot ( x )}{cos ( x )}

9 (x - 1) - (x - 1)^{2}

\frac{500 ( \frac{1}{2} ) ^{1001}}{1001}

\frac{3 - 5 + x}{1 - 5 - x}

What is ((9x^2}{4y^3})(\frac{2y^2)/x) ?
The solution to ((9x^2}{4y^3})(\frac{2y^2)/x) is (9x)/(2y)