Simplify 8(60÷(4^2-2^2)-2)

$8 (60 \div (4^{2} - 2^{2}) - 2)$

Step 1

Simplify each term.

Rewrite the division as a fraction.

$8 (\frac{60}{4^{2} - 2^{2}} - 2)$

Simplify the denominator.

Raise $4$ to the power of $2$ .

$8 (\frac{60}{16 - 2^{2}} - 2)$

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

$8 (\frac{60}{16 - 1 \cdot 4} - 2)$

Multiply $- 1$ by $4$ .

$8 (\frac{60}{16 - 4} - 2)$

Subtract $4$ from $16$ .

$8 (\frac{60}{12} - 2)$

$8 (\frac{60}{12} - 2)$

Divide $60$ by $12$ .

$8 (5 - 2)$

$8 (5 - 2)$

Step 2

Simplify the expression.

Subtract $2$ from $5$ .

$8 \cdot 3$

Multiply $8$ by $3$ .

$24$

$24$

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