Simplify (y^-3)^6

${(y^{- 3})}^{6}$

Step 1

Multiply the exponents in ${(y^{- 3})}^{6}$ .

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

$y^{- 3 \cdot 6}$

Multiply $- 3$ by $6$ .

$y^{- 18}$

Step 2

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

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