Evaluate 2(45÷((11-8)^2))-3

$2 (45 \div {(11 - 8)}^{2}) - 3$

Step 1

Simplify each term.

Simplify the denominator.

Subtract $8$ from $11$ .

$245 \div 3^{2} - 3$

Raise $3$ to the power of $2$ .

$2 (45 \div 9) - 3$

$2 (45 \div 9) - 3$

Divide $45$ by $9$ .

$2 \cdot 5 - 3$

Multiply $2$ by $5$ .

$10 - 3$

$10 - 3$

Step 2

Subtract $3$ from $10$ .

$7$

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