What is (24x^7y^7)/(40xy^6) ?

The solution to (24x^7y^7)/(40xy^6) is (3x^6y)/5

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simplify (24x^7y^7)/(40xy^6)

simplify

\frac{24 x ^{7} y ^{7}}{40 x y ^{6}}

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

Solution steps

\frac{24 x ^{7} y ^{7}}{40 x y ^{6}}

Factor the number:

24 = 8 \cdot 3

= \frac{8 \cdot 3 x ^{7} y ^{7}}{40 x y ^{6}}

Factor the number:

40 = 8 \cdot 5

= \frac{8 \cdot 3 x ^{7} y ^{7}}{8 \cdot 5 x y ^{6}}

Cancel the common factor:

8

= \frac{3 x ^{7} y ^{7}}{5 x y ^{6}}

Simplify

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

= \frac{3 x ^{6} y ^{7}}{5 y ^{6}}

Simplify

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

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

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