What is (-20x^3y^2)/(5x^7y^2) ?

The solution to (-20x^3y^2)/(5x^7y^2) is -4/(x^4)

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simplify (-20x^3y^2)/(5x^7y^2)

simplify

\frac{- 20 x ^{3} y ^{2}}{5 x ^{7} y ^{2}}

- \frac{4}{x ^{4}}

Solution steps

\frac{- 20 x ^{3} y ^{2}}{5 x ^{7} y ^{2}}

Cancel the common factor:

y^{2}

= \frac{- 20 x ^{3}}{5 x ^{7}}

Factor the number:

20 = 5 \cdot 4

= \frac{- 5 \cdot 4 x ^{3}}{5 x ^{7}}

Cancel the common factor:

5

= \frac{- 4 x ^{3}}{x ^{7}}

Simplify

\frac{x ^{3}}{x ^{7}} : \frac{1}{x ^{4}}

= \frac{- 4}{x ^{4}}

Apply the fraction rule:

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

= - \frac{4}{x ^{4}}

- 2 (- \frac{1}{2})

x^{2} - 4 x - 32 > 0

\frac{\frac{1}{x ^{2}} + \frac{1}{y ^{2}}}{\frac{1}{x} - \frac{1}{y}}

0 = - \frac{2}{3} x - 2

6 x^{2} - 19 x + 15

What is (-20x^3y^2)/(5x^7y^2) ?
The solution to (-20x^3y^2)/(5x^7y^2) is -4/(x^4)