What is (3x^5y^{10})/(-9xy^3) ?

The solution to (3x^5y^{10})/(-9xy^3) is -(x^4y^7)/3

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simplify (3x^5y^{10})/(-9xy^3)

simplify

\frac{3 x ^{5} y ^{10}}{- 9 x y ^{3}}

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

Solution steps

\frac{3 x ^{5} y ^{10}}{- 9 x y ^{3}}

Factor the number:

9 = 3 \cdot 3

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

Cancel the common factor:

3

= \frac{x ^{5} y ^{10}}{- 3 x y ^{3}}

Simplify

\frac{x ^{5}}{x} : x^{4}

= \frac{x ^{4} y ^{10}}{- 3 y ^{3}}

Simplify

\frac{y ^{10}}{y ^{3}} : y^{7}

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

Apply the fraction rule:

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

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

x^{2} + 5 x + \frac{25}{4} = 0

\frac{6 x ^{2} + 11 x y - 10 y ^{2}}{3 x - 2 y}

b^{2} - 200 = 200

\frac{1}{3} + (- \frac{4}{9})

x^{2} - \frac{1}{2} x - 3

What is (3x^5y^{10})/(-9xy^3) ?
The solution to (3x^5y^{10})/(-9xy^3) is -(x^4y^7)/3