Basic Math Examples

${(- y)}^{- 3}$

Step 1

Rewrite the expression using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

$\frac{1}{{(- y)}^{3}}$

Step 2

Simplify the denominator.

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Step 2.1

Apply the product rule to $- y$ .

$\frac{1}{{(- 1)}^{3} y^{3}}$

Step 2.2

Raise $- 1$ to the power of $3$ .

$\frac{1}{- y^{3}}$

Step 3

Cancel the common factor of $1$ and $- 1$ .

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Step 3.1

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{- 1 (- 1)}{- y^{3}}$

Step 3.2

Move the negative in front of the fraction.

$- \frac{1}{y^{3}}$