Simplify (p^9)^-2

${(p^{9})}^{- 2}$

Step 1

Multiply the exponents in ${(p^{9})}^{- 2}$ .

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

$p^{9 \cdot - 2}$

Multiply $9$ by $- 2$ .

$p^{- 18}$

Step 2

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

$\frac{1}{p^{18}}$