Algebra Examples

${(- x^{- 3} y^{0} z^{- 4})}^{- 1}$

Step 1

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

${(- \frac{1}{x^{3}} y^{0} z^{- 4})}^{- 1}$

Step 2

Anything raised to $0$ is $1$ .

${(- \frac{1}{x^{3}} \cdot 1 z^{- 4})}^{- 1}$

Step 3

Multiply $- 1$ by $1$ .

${(- \frac{1}{x^{3}} z^{- 4})}^{- 1}$

Step 4

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

${(- \frac{1}{x^{3}} \cdot \frac{1}{z^{4}})}^{- 1}$

Step 5

Multiply $\frac{1}{z^{4}}$ by $\frac{1}{x^{3}}$ .

${(- \frac{1}{z^{4} x^{3}})}^{- 1}$

Step 6

Change the sign of the exponent by rewriting the base as its reciprocal.

$- z^{4} x^{3}$