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

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

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

simplify

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

\frac{x y}{4}

Solution steps

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

Cancel

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

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

Apply the fraction rule:

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

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

Cancel the common factor:

5

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

Simplify

\frac{x ^{4}}{x ^{3}} : x

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

Simplify

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

= \frac{x y}{4}

3 + \frac{5}{x} \geq 8

x^{2} - 7 x > 0

∣ 5 x + 3 ∣ = 18

2^{- 1} + \frac{1}{2}

∣ x - 3 ∣ = - 3

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