What is (30x^5y^2)/(50xy^2) ?

The solution to (30x^5y^2)/(50xy^2) is (3x^4)/5

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simplify (30x^5y^2)/(50xy^2)

simplify

\frac{30 x ^{5} y ^{2}}{50 x y ^{2}}

\frac{3 x ^{4}}{5}

Solution steps

\frac{30 x ^{5} y ^{2}}{50 x y ^{2}}

Cancel the common factor:

y^{2}

= \frac{30 x ^{5}}{50 x}

Factor the number:

30 = 10 \cdot 3

= \frac{10 \cdot 3 x ^{5}}{50 x}

Factor the number:

50 = 10 \cdot 5

= \frac{10 \cdot 3 x ^{5}}{10 \cdot 5 x}

Cancel the common factor:

10

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

Simplify

\frac{x ^{5}}{x} : x^{4}

= \frac{3 x ^{4}}{5}

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