Algebra Examples

${({(x^{2} y^{- 2})}^{- 1})}^{- 1}$

Step 1

Multiply the exponents in ${({(x^{2} y^{- 2})}^{- 1})}^{- 1}$ .

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Step 1.1

Apply the power rule and multiply exponents, ${(a^{m})}^{n} = a^{m n}$ .

${(x^{2} y^{- 2})}^{- - 1}$

Step 1.2

Multiply $- 1$ by $- 1$ .

${(x^{2} y^{- 2})}^{1}$

Step 2

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

${(x^{2} \frac{1}{y^{2}})}^{1}$

Step 3

Combine $x^{2}$ and $\frac{1}{y^{2}}$ .

${(\frac{x^{2}}{y^{2}})}^{1}$

Step 4

Simplify.

$\frac{x^{2}}{y^{2}}$