Evaluate -2*(16÷((8-4)^2))^2

$- 2 \cdot {(16 \div {(8 - 4)}^{2})}^{2}$

Step 1

Rewrite the division as a fraction.

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

Step 2

Simplify the denominator.

Subtract $4$ from $8$ .

$- 2 \cdot {(\frac{16}{4^{2}})}^{2}$

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

$- 2 \cdot {(\frac{16}{16})}^{2}$

$- 2 \cdot {(\frac{16}{16})}^{2}$

Step 3

Simplify the expression.

Divide $16$ by $16$ .

$- 2 \cdot 1^{2}$

One to any power is one.

$- 2 \cdot 1$

Multiply $- 2$ by $1$ .

$- 2$

$- 2$

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