What is (x^{-3})/(-3) ?

The solution to (x^{-3})/(-3) is -1/(3x^3)

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simplify (x^{-3})/(-3)

simplify

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

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

Solution steps

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

Apply the fraction rule:

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

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

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

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

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

\frac{\frac{1}{x ^{3}}}{3} = \frac{1}{x ^{3} \cdot 3}

= - \frac{1}{x ^{3} \cdot 3}

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

2^{3} \times 2^{2}

\frac{3 x ^{4} y}{27 x ^{8} y}

x^{2} - 250 x + 15000

\frac{3 x ^{2}}{9 x ^{3} + 9 x ^{2}}

0 \div 9