What is (5x^7y^2)/(25xy^6) ?

The solution to (5x^7y^2)/(25xy^6) is (x^6)/(5y^4)

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simplify (5x^7y^2)/(25xy^6)

simplify

\frac{5 x ^{7} y ^{2}}{25 x y ^{6}}

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

Solution steps

\frac{5 x ^{7} y ^{2}}{25 x y ^{6}}

Factor the number:

25 = 5 \cdot 5

= \frac{5 x ^{7} y ^{2}}{5 \cdot 5 x y ^{6}}

Cancel the common factor:

5

= \frac{x ^{7} y ^{2}}{5 x y ^{6}}

Simplify

\frac{x ^{7}}{x} : x^{6}

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

Simplify

\frac{y ^{2}}{y ^{6}} : \frac{1}{y ^{4}}

= \frac{x ^{6}}{5 y ^{4}}

x^{2} \cdot (- 1)

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