What is (24x^3y^8)/(8x^4y^6) ?

The solution to (24x^3y^8)/(8x^4y^6) is (3y^2)/x

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simplify (24x^3y^8)/(8x^4y^6)

simplify

\frac{24 x ^{3} y ^{8}}{8 x ^{4} y ^{6}}

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

Solution steps

\frac{24 x ^{3} y ^{8}}{8 x ^{4} y ^{6}}

Factor the number:

24 = 8 \cdot 3

= \frac{8 \cdot 3 x ^{3} y ^{8}}{8 x ^{4} y ^{6}}

Cancel the common factor:

8

= \frac{3 x ^{3} y ^{8}}{x ^{4} y ^{6}}

Simplify

\frac{y ^{8}}{y ^{6}} : y^{2}

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

Simplify

\frac{x ^{3}}{x ^{4}} : \frac{1}{x}

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

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