Simplify (x^2)^-5

${(x^{2})}^{- 5}$

Step 1

Multiply the exponents in ${(x^{2})}^{- 5}$ .

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

$x^{2 \cdot - 5}$

Multiply $2$ by $- 5$ .

$x^{- 10}$

Step 2

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

$\frac{1}{x^{10}}$