What is expand (-1/(x^2))^3(x^3)^3 ?

The solution to expand (-1/(x^2))^3(x^3)^3 is -x^3

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expand (-1/(x^2))^3(x^3)^3

expand

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

- x^{3}

Solution steps

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

(- \frac{1}{x ^{2}})^{3} = - \frac{1}{x ^{6}}

= - \frac{1}{x ^{6}} (x^{3})^{3}

(x^{3})^{3} = x^{9}

= - \frac{1}{x ^{6}} x^{9}

Multiply fractions:

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

= - \frac{1 \cdot x ^{9}}{x ^{6}}

Multiply:

1 \cdot x^{9} = x^{9}

= - \frac{x ^{9}}{x ^{6}}

Apply exponent rule:

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

\frac{x ^{9}}{x ^{6}} = x^{9 - 6}

= x^{9 - 6}

Subtract the numbers:

9 - 6 = 3

= - x^{3}

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What is expand (-1/(x^2))^3(x^3)^3 ?
The solution to expand (-1/(x^2))^3(x^3)^3 is -x^3