Evaluate (2(5-3))^3-4^2

${(2 (5 - 3))}^{3} - 4^{2}$

Simplify each term.

Subtract $3$ from $5$ .

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

Multiply $2$ by $2$ .

$4^{3} - 4^{2}$

Raise $4$ to the power of $3$ .

$64 - 4^{2}$

Raise $4$ to the power of $2$ .

$64 - 1 \cdot 16$

Multiply $- 1$ by $16$ .

$64 - 16$

$64 - 16$

Subtract $16$ from $64$ .

$48$

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