What is (2x^5y)/(10x^3y^6) ?

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

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simplify (2x^5y)/(10x^3y^6)

simplify

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

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

Solution steps

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

Factor the number:

10 = 2 \cdot 5

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

Cancel the common factor:

2

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

Simplify

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

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

Simplify

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

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

- 4 \times (- 7)

21 a^{2} - 135 a - 84

\frac{20 - 28 i}{- 4 + 4 i}

(- x + 4) (3 x^{2} - 2 x - 7)