What is (4x^5y^3)/(2x^6y) ?

The solution to (4x^5y^3)/(2x^6y) is (2y^2)/x

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simplify (4x^5y^3)/(2x^6y)

simplify

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

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

Solution steps

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

Factor the number:

4 = 2 \cdot 2

= \frac{2 \cdot 2 x ^{5} y ^{3}}{2 x ^{6} y}

Cancel the common factor:

2

= \frac{2 x ^{5} y ^{3}}{x ^{6} y}

Simplify

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

= \frac{2 x ^{5} y ^{2}}{x ^{6}}

Simplify

\frac{x ^{5}}{x ^{6}} : \frac{1}{x}

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

6 x^{2} + 33 x - 18

- 6 x^{- 5}

- 6 x^{- 4}

248 - 3675 + 588

4150