What is (18x^5y^4)/(-6xy^2) ?

The solution to (18x^5y^4)/(-6xy^2) is -3x^4y^2

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simplify (18x^5y^4)/(-6xy^2)

simplify

\frac{18 x ^{5} y ^{4}}{- 6 x y ^{2}}

- 3 x^{4} y^{2}

Solution steps

\frac{18 x ^{5} y ^{4}}{- 6 x y ^{2}}

Apply the fraction rule:

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

= - \frac{18 x ^{5} y ^{4}}{6 x y ^{2}}

Divide the numbers:

\frac{18}{6} = 3

= \frac{3 x ^{5} y ^{4}}{x y ^{2}}

Cancel the common factor:

x

= \frac{3 x ^{4} y ^{4}}{y ^{2}}

Apply exponent rule:

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

\frac{y ^{4}}{y ^{2}} = y^{4 - 2}

= 3 x^{4} y^{4 - 2}

Subtract the numbers:

4 - 2 = 2

= - 3 x^{4} y^{2}

2 x^{2} - 6 x y + 4 y^{2}

(x + y)^{3} - (x + y) (x^{2} - x y + y^{2})

x^{3} + 6 x^{2} + 16 x + 96

\frac{3}{4} \times \frac{2}{5}

(1 + 3 x)^{4}