What is (6xy^5)/(10x^6y^6) ?

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

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simplify (6xy^5)/(10x^6y^6)

simplify

\frac{6 x y ^{5}}{10 x ^{6} y ^{6}}

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

Solution steps

\frac{6 x y ^{5}}{10 x ^{6} y ^{6}}

Factor the number:

6 = 2 \cdot 3

= \frac{2 \cdot 3 x y ^{5}}{10 x ^{6} y ^{6}}

Factor the number:

10 = 2 \cdot 5

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

Cancel the common factor:

2

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

Simplify

\frac{x}{x ^{6}} : \frac{1}{x ^{5}}

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

Simplify

\frac{y ^{5}}{y ^{6}} : \frac{1}{y}

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

\frac{4 ^{7}}{4 ^{2}}

(6 x - 4) (6 x + 3)

100 x^{4} - 1