Simplify (x^-6)^7

${(x^{- 6})}^{7}$

Step 1

Multiply the exponents in ${(x^{- 6})}^{7}$ .

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

$x^{- 6 \cdot 7}$

Multiply $- 6$ by $7$ .

$x^{- 42}$

Step 2

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

$\frac{1}{x^{42}}$