Pre-Algebra Examples

${(w^{- 7})}^{7}$

Step 1

Multiply the exponents in ${(w^{- 7})}^{7}$ .

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Step 1.1

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

$w^{- 7 \cdot 7}$

Step 1.2

Multiply $- 7$ by $7$ .

$w^{- 49}$

Step 2

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

$\frac{1}{w^{49}}$