Evaluate 8^2-6+(8+20)÷7

$8^{2} - 6 + (8 + 20) \div 7$

Step 1

Add $8$ and $20$ .

$8^{2} - 6 + 28 \div 7$

Step 2

Find the common denominator.

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

$\frac{8^{2}}{1} - 6 + 28 \div 7$

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

$\frac{8^{2}}{1} \cdot \frac{7}{7} - 6 + 28 \div 7$

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

$\frac{8^{2} \cdot 7}{7} - 6 + 28 \div 7$

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

$\frac{8^{2} \cdot 7}{7} + \frac{- 6}{1} + 28 \div 7$

Multiply $\frac{- 6}{1}$ by $\frac{7}{7}$ .

$\frac{8^{2} \cdot 7}{7} + \frac{- 6}{1} \cdot \frac{7}{7} + 28 \div 7$

Multiply $\frac{- 6}{1}$ by $\frac{7}{7}$ .

$\frac{8^{2} \cdot 7}{7} + \frac{- 6 \cdot 7}{7} + 28 \div 7$

Step 3

Combine the numerators over the common denominator.

$\frac{8^{2} \cdot 7 - 6 \cdot 7 + 28}{7}$

Step 4

Simplify each term.

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

$\frac{64 \cdot 7 - 6 \cdot 7 + 28}{7}$

Multiply $64$ by $7$ .

$\frac{448 - 6 \cdot 7 + 28}{7}$

Multiply $- 6$ by $7$ .

$\frac{448 - 42 + 28}{7}$

Step 5

Simplify the expression.

Subtract $42$ from $448$ .

$\frac{406 + 28}{7}$

Add $406$ and $28$ .

$\frac{434}{7}$

Divide $434$ by $7$ .

$62$