Find the Exact Value 2^3-12÷6-1

$2^{3} - 12 \div 6 - 1$

Find the common denominator.

Write $2^{3}$ as a fraction with denominator $1$ .

$\frac{2^{3}}{1} - 12 \div 6 - 1$

Multiply $\frac{2^{3}}{1}$ by $\frac{6}{6}$ .

$\frac{2^{3}}{1} \cdot \frac{6}{6} - 12 \div 6 - 1$

Multiply $\frac{2^{3}}{1}$ by $\frac{6}{6}$ .

$\frac{2^{3} \cdot 6}{6} - 12 \div 6 - 1$

Write $- 1$ as a fraction with denominator $1$ .

$\frac{2^{3} \cdot 6}{6} - 12 \div 6 + \frac{- 1}{1}$

Multiply $\frac{- 1}{1}$ by $\frac{6}{6}$ .

$\frac{2^{3} \cdot 6}{6} - 12 \div 6 + \frac{- 1}{1} \cdot \frac{6}{6}$

Multiply $\frac{- 1}{1}$ by $\frac{6}{6}$ .

$\frac{2^{3} \cdot 6}{6} - 12 \div 6 + \frac{- 1 \cdot 6}{6}$

Combine the numerators over the common denominator.

$\frac{2^{3} \cdot 6 - 12 - 1 \cdot 6}{6}$

Simplify each term.

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

$\frac{8 \cdot 6 - 12 - 1 \cdot 6}{6}$

Multiply $8$ by $6$ .

$\frac{48 - 12 - 1 \cdot 6}{6}$

Multiply $- 1$ by $6$ .

$\frac{48 - 12 - 6}{6}$

Simplify the expression.

Subtract $12$ from $48$ .

$\frac{36 - 6}{6}$

Subtract $6$ from $36$ .

$\frac{30}{6}$

Divide $30$ by $6$ .

$5$