Evaluate 1/2(4*5)-2^3

$\frac{1}{2} (4 \cdot 5) - 2^{3}$

Simplify each term.

Multiply $4$ by $5$ .

$\frac{1}{2} \cdot 20 - 2^{3}$

Cancel the common factor of $2$ .

Factor $2$ out of $20$ .

$\frac{1}{2} \cdot (2 (10)) - 2^{3}$

Cancel the common factor.

$\frac{1}{2} \cdot (2 \cdot 10) - 2^{3}$

Rewrite the expression.

$10 - 2^{3}$

$10 - 2^{3}$

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

$10 - 1 \cdot 8$

Multiply $- 1$ by $8$ .

$10 - 8$

$10 - 8$

Subtract $8$ from $10$ .

$2$

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