Evaluate 8-7^2-8÷8-6

$8 - 7^{2} - 8 \div 8 - 6$

Step 1

Find the common denominator.

Write $8$ as a fraction with denominator $1$ .

$\frac{8}{1} - 7^{2} - 8 \div 8 - 6$

Multiply $\frac{8}{1}$ by $\frac{8}{8}$ .

$\frac{8}{1} \cdot \frac{8}{8} - 7^{2} - 8 \div 8 - 6$

Multiply $\frac{8}{1}$ by $\frac{8}{8}$ .

$\frac{8 \cdot 8}{8} - 7^{2} - 8 \div 8 - 6$

Write $- 7^{2}$ as a fraction with denominator $1$ .

$\frac{8 \cdot 8}{8} + \frac{- 7^{2}}{1} - 8 \div 8 - 6$

Multiply $\frac{- 7^{2}}{1}$ by $\frac{8}{8}$ .

$\frac{8 \cdot 8}{8} + \frac{- 7^{2}}{1} \cdot \frac{8}{8} - 8 \div 8 - 6$

Multiply $\frac{- 7^{2}}{1}$ by $\frac{8}{8}$ .

$\frac{8 \cdot 8}{8} + \frac{- 7^{2} \cdot 8}{8} - 8 \div 8 - 6$

Write $- 6$ as a fraction with denominator $1$ .

$\frac{8 \cdot 8}{8} + \frac{- 7^{2} \cdot 8}{8} - 8 \div 8 + \frac{- 6}{1}$

Multiply $\frac{- 6}{1}$ by $\frac{8}{8}$ .

$\frac{8 \cdot 8}{8} + \frac{- 7^{2} \cdot 8}{8} - 8 \div 8 + \frac{- 6}{1} \cdot \frac{8}{8}$

Multiply $\frac{- 6}{1}$ by $\frac{8}{8}$ .

$\frac{8 \cdot 8}{8} + \frac{- 7^{2} \cdot 8}{8} - 8 \div 8 + \frac{- 6 \cdot 8}{8}$

Step 2

Combine the numerators over the common denominator.

$\frac{8 \cdot 8 - 7^{2} \cdot 8 - 8 - 6 \cdot 8}{8}$

Step 3

Simplify each term.

Multiply $8$ by $8$ .

$\frac{64 - 7^{2} \cdot 8 - 8 - 6 \cdot 8}{8}$

Raise $7$ to the power of $2$ .

$\frac{64 - 1 \cdot 49 \cdot 8 - 8 - 6 \cdot 8}{8}$

Multiply $- 1 \cdot 49 \cdot 8$ .

Multiply $- 1$ by $49$ .

$\frac{64 - 49 \cdot 8 - 8 - 6 \cdot 8}{8}$

Multiply $- 49$ by $8$ .

$\frac{64 - 392 - 8 - 6 \cdot 8}{8}$

Multiply $- 6$ by $8$ .

$\frac{64 - 392 - 8 - 48}{8}$

Step 4

Simplify the expression.

Subtract $392$ from $64$ .

$\frac{- 328 - 8 - 48}{8}$

Subtract $8$ from $- 328$ .

$\frac{- 336 - 48}{8}$

Subtract $48$ from $- 336$ .

$\frac{- 384}{8}$

Divide $- 384$ by $8$ .

$- 48$

Evaluate 8-7^2-8÷8-6

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