What is (3x^4)/(-9x^5) ?

The solution to (3x^4)/(-9x^5) is -1/(3x)

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simplify (3x^4)/(-9x^5)

simplify

\frac{3 x ^{4}}{- 9 x ^{5}}

- \frac{1}{3 x}

Solution steps

\frac{3 x ^{4}}{- 9 x ^{5}}

Factor the number:

9 = 3 \cdot 3

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

Cancel the common factor:

3

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

Simplify

\frac{x ^{4}}{x ^{5}} : \frac{1}{x}

= \frac{1}{- 3 x}

Apply the fraction rule:

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

= - \frac{1}{3 x}

10201

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

\frac{16}{25}

x^{2} + 1 + 2 x

\frac{1}{16} \cdot \frac{4}{5}