Simplify (x^7)^-4

${(x^{7})}^{- 4}$

Step 1

Multiply the exponents in ${(x^{7})}^{- 4}$ .

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

$x^{7 \cdot - 4}$

Multiply $7$ by $- 4$ .

$x^{- 28}$

Step 2

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

$\frac{1}{x^{28}}$