Simplify ((2-2^2)^3)/2

$\frac{{(2 - 2^{2})}^{3}}{2}$

Simplify the numerator.

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

$\frac{{(2 - 1 \cdot 4)}^{3}}{2}$

Multiply $- 1$ by $4$ .

$\frac{{(2 - 4)}^{3}}{2}$

Subtract $4$ from $2$ .

$\frac{{(- 2)}^{3}}{2}$

Raise $- 2$ to the power of $3$ .

$\frac{- 8}{2}$

$\frac{- 8}{2}$

Divide $- 8$ by $2$ .

$- 4$

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