Precalculus Examples

${(m^{2})}^{- 1}$

Step 1

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

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Step 1.1

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

$m^{2 \cdot - 1}$

Step 1.2

Multiply $2$ by $- 1$ .

$m^{- 2}$

Step 2

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

$\frac{1}{m^{2}}$