Evaluate (8^2*(2+6))÷4

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

Step 1

Rewrite the division as a fraction.

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

Step 2

Cancel the common factor of $2 + 6$ and $4$ .

Factor $2$ out of $8^{2} \cdot (2 + 6)$ .

$\frac{2 (8^{2} \cdot (1 + 3))}{4}$

Cancel the common factors.

Factor $2$ out of $4$ .

$\frac{2 (8^{2} \cdot (1 + 3))}{2 (2)}$

Cancel the common factor.

$\frac{2 (8^{2} \cdot (1 + 3))}{2 \cdot 2}$

Rewrite the expression.

$\frac{8^{2} \cdot (1 + 3)}{2}$

$\frac{8^{2} \cdot (1 + 3)}{2}$

$\frac{8^{2} \cdot (1 + 3)}{2}$

Step 3

Simplify the numerator.

Add $1$ and $3$ .

$\frac{8^{2} \cdot 4}{2}$

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

$\frac{64 \cdot 4}{2}$

$\frac{64 \cdot 4}{2}$

Step 4

Simplify the expression.

Multiply $64$ by $4$ .

$\frac{256}{2}$

Divide $256$ by $2$ .

$128$

$128$

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