Algebra Examples

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

Step 1

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

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

$x^{- 2 \cdot 2}$

Multiply $- 2$ by $2$ .

$x^{- 4}$

Step 2

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

$\frac{1}{x^{4}}$