Simplify (-2y^-1)^6

${(- 2 y^{- 1})}^{6}$

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

${(- 2 \frac{1}{y})}^{6}$

Combine $- 2$ and $\frac{1}{y}$ .

${(\frac{- 2}{y})}^{6}$

Move the negative in front of the fraction.

${(- \frac{2}{y})}^{6}$

Use the power rule ${(a b)}^{n} = a^{n} b^{n}$ to distribute the exponent.

Apply the product rule to $- \frac{2}{y}$ .

${(- 1)}^{6} {(\frac{2}{y})}^{6}$

Apply the product rule to $\frac{2}{y}$ .

${(- 1)}^{6} \frac{2^{6}}{y^{6}}$

Raise $- 1$ to the power of $6$ .

$1 \frac{2^{6}}{y^{6}}$

Multiply $\frac{2^{6}}{y^{6}}$ by $1$ .

$\frac{2^{6}}{y^{6}}$

Raise $2$ to the power of $6$ .

$\frac{64}{y^{6}}$