Simplify 6^2-(5-4)+(2(8-2^2))÷8

$6^{2} - (5 - 4) + 2 (8 - 2^{2}) \div 8$

Find the common denominator.

Write $6^{2}$ as a fraction with denominator $1$ .

$\frac{6^{2}}{1} - (5 - 4) + 2 (8 - 2^{2}) \div 8$

Multiply $\frac{6^{2}}{1}$ by $\frac{8}{8}$ .

$\frac{6^{2}}{1} \cdot \frac{8}{8} - (5 - 4) + 2 (8 - 2^{2}) \div 8$

Multiply $\frac{6^{2}}{1}$ by $\frac{8}{8}$ .

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

Write $- (5 - 4)$ as a fraction with denominator $1$ .

$\frac{6^{2} \cdot 8}{8} + \frac{- (5 - 4)}{1} + 2 (8 - 2^{2}) \div 8$

Multiply $\frac{- (5 - 4)}{1}$ by $\frac{8}{8}$ .

$\frac{6^{2} \cdot 8}{8} + \frac{- (5 - 4)}{1} \cdot \frac{8}{8} + 2 (8 - 2^{2}) \div 8$

Multiply $\frac{- (5 - 4)}{1}$ by $\frac{8}{8}$ .

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

Combine the numerators over the common denominator.

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

Simplify each term.

Raise $6$ to the power of $2$ .

$\frac{36 \cdot 8 - (5 - 4) \cdot 8 + 2 (8 - 2^{2})}{8}$

Multiply $36$ by $8$ .

$\frac{288 - (5 - 4) \cdot 8 + 2 (8 - 2^{2})}{8}$

Subtract $4$ from $5$ .

$\frac{288 - 1 \cdot 1 \cdot 8 + 2 (8 - 2^{2})}{8}$

Multiply $- 1$ by $1$ .

$\frac{288 - 1 \cdot 8 + 2 (8 - 2^{2})}{8}$

Multiply $- 1$ by $8$ .

$\frac{288 - 8 + 2 (8 - 2^{2})}{8}$

Simplify each term.

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

$\frac{288 - 8 + 2 (8 - 1 \cdot 4)}{8}$

Multiply $- 1$ by $4$ .

$\frac{288 - 8 + 2 (8 - 4)}{8}$

Subtract $4$ from $8$ .

$\frac{288 - 8 + 2 \cdot 4}{8}$

Multiply $2$ by $4$ .

$\frac{288 - 8 + 8}{8}$

Simplify the expression.

Subtract $8$ from $288$ .

$\frac{280 + 8}{8}$

Add $280$ and $8$ .

$\frac{288}{8}$

Divide $288$ by $8$ .

$36$