What is (-4x^4y^2)/(10xy^7) ?

The solution to (-4x^4y^2)/(10xy^7) is -(2x^3)/(5y^5)

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simplify (-4x^4y^2)/(10xy^7)

simplify

\frac{- 4 x ^{4} y ^{2}}{10 x y ^{7}}

- \frac{2 x ^{3}}{5 y ^{5}}

Solution steps

\frac{- 4 x ^{4} y ^{2}}{10 x y ^{7}}

Factor the number:

4 = 2 \cdot 2

= \frac{- 2 \cdot 2 x ^{4} y ^{2}}{10 x y ^{7}}

Factor the number:

10 = 2 \cdot 5

= \frac{- 2 \cdot 2 x ^{4} y ^{2}}{2 \cdot 5 x y ^{7}}

Cancel the common factor:

2

= \frac{- 2 x ^{4} y ^{2}}{5 x y ^{7}}

Simplify

\frac{x ^{4}}{x} : x^{3}

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

Simplify

\frac{y ^{2}}{y ^{7}} : \frac{1}{y ^{5}}

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

Apply the fraction rule:

\frac{- a}{b} = - \frac{a}{b}

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

x^{4} - 36 y^{6}

42 x^{5} y + 36 x^{2} y^{4}

6 (k + 2 m)

405 x^{2}

What is (-4x^4y^2)/(10xy^7) ?
The solution to (-4x^4y^2)/(10xy^7) is -(2x^3)/(5y^5)