Evaluate 2^3-(5*(6+4))÷2

$2^{3} - 5 \cdot (6 + 4) \div 2$

Simplify each term.

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

$8 - 5 \cdot (6 + 4) \div 2$

Rewrite the division as a fraction.

$8 - \frac{5 \cdot (6 + 4)}{2}$

Cancel the common factor of $6 + 4$ and $2$ .

Factor $2$ out of $5 \cdot (6 + 4)$ .

$8 - \frac{2 (5 \cdot (3 + 2))}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$8 - \frac{2 (5 \cdot (3 + 2))}{2 (1)}$

Cancel the common factor.

$8 - \frac{2 (5 \cdot (3 + 2))}{2 \cdot 1}$

Rewrite the expression.

$8 - \frac{5 \cdot (3 + 2)}{1}$

Divide $5 \cdot (3 + 2)$ by $1$ .

$8 - (5 \cdot (3 + 2))$

$8 - (5 \cdot (3 + 2))$

$8 - (5 \cdot (3 + 2))$

Add $3$ and $2$ .

$8 - (5 \cdot 5)$

Multiply $5$ by $5$ .

$8 - 1 \cdot 25$

Multiply $- 1$ by $25$ .

$8 - 25$

$8 - 25$

Subtract $25$ from $8$ .

$- 17$

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