Simplify (w^7)^-1

${(w^{7})}^{- 1}$

Step 1

Multiply the exponents in ${(w^{7})}^{- 1}$ .

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

$w^{7 \cdot - 1}$

Multiply $7$ by $- 1$ .

$w^{- 7}$

Step 2

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

$\frac{1}{w^{7}}$