Evaluate 35-14÷2+8^2

$35 - 14 \div 2 + 8^{2}$

Find the common denominator.

Write $35$ as a fraction with denominator $1$ .

$\frac{35}{1} - 14 \div 2 + 8^{2}$

Multiply $\frac{35}{1}$ by $\frac{2}{2}$ .

$\frac{35}{1} \cdot \frac{2}{2} - 14 \div 2 + 8^{2}$

Multiply $\frac{35}{1}$ by $\frac{2}{2}$ .

$\frac{35 \cdot 2}{2} - 14 \div 2 + 8^{2}$

Write $8^{2}$ as a fraction with denominator $1$ .

$\frac{35 \cdot 2}{2} - 14 \div 2 + \frac{8^{2}}{1}$

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

$\frac{35 \cdot 2}{2} - 14 \div 2 + \frac{8^{2}}{1} \cdot \frac{2}{2}$

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

$\frac{35 \cdot 2}{2} - 14 \div 2 + \frac{8^{2} \cdot 2}{2}$

Combine the numerators over the common denominator.

$\frac{35 \cdot 2 - 14 + 8^{2} \cdot 2}{2}$

Simplify each term.

Multiply $35$ by $2$ .

$\frac{70 - 14 + 8^{2} \cdot 2}{2}$

Raise $8$ to the power of $2$ .

$\frac{70 - 14 + 64 \cdot 2}{2}$

Multiply $64$ by $2$ .

$\frac{70 - 14 + 128}{2}$

Simplify the expression.

Subtract $14$ from $70$ .

$\frac{56 + 128}{2}$

Add $56$ and $128$ .

$\frac{184}{2}$

Divide $184$ by $2$ .

$92$