What is (5x^7y^5)/(10xy^3) ?

The solution to (5x^7y^5)/(10xy^3) is (x^6y^2)/2

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simplify (5x^7y^5)/(10xy^3)

simplify

\frac{5 x ^{7} y ^{5}}{10 x y ^{3}}

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

Solution steps

\frac{5 x ^{7} y ^{5}}{10 x y ^{3}}

Factor the number:

10 = 5 \cdot 2

= \frac{5 x ^{7} y ^{5}}{5 \cdot 2 x y ^{3}}

Cancel the common factor:

5

= \frac{x ^{7} y ^{5}}{2 x y ^{3}}

Simplify

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

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

Simplify

\frac{y ^{5}}{y ^{3}} : y^{2}

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

19 \times 6

15 x^{2} + 16 x - 15

x^{4} + 2 x^{3} - 9 x^{2} - 2 x + 8

x^{3} - 6 x^{2} + 61 x - 106