Algebra Examples

${(\frac{x^{3} y^{- 4}}{z^{- 2}})}^{- 1}$

Step 1

Move $y^{- 4}$ to the denominator using the negative exponent rule $b^{- n} = \frac{1}{b^{n}}$ .

${(\frac{x^{3}}{z^{- 2} y^{4}})}^{- 1}$

Step 2

Move $z^{- 2}$ to the numerator using the negative exponent rule $\frac{1}{b^{- n}} = b^{n}$ .

${(\frac{x^{3} z^{2}}{y^{4}})}^{- 1}$

Step 3

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

$\frac{y^{4}}{x^{3} z^{2}}$