Simplify (x^2)^-6

${(x^{2})}^{- 6}$

Step 1

Multiply the exponents in ${(x^{2})}^{- 6}$ .

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

$x^{2 \cdot - 6}$

Multiply $2$ by $- 6$ .

$x^{- 12}$

Step 2

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

$\frac{1}{x^{12}}$