Evaluate (3^3*(12-2))÷2

$3^{3} \cdot (12 - 2) \div 2$

Rewrite the division as a fraction.

$\frac{3^{3} \cdot (12 - 2)}{2}$

Cancel the common factor of $12 - 2$ and $2$ .

Factor $2$ out of $3^{3} \cdot (12 - 2)$ .

$\frac{2 (3^{3} \cdot (6 - 1))}{2}$

Cancel the common factors.

Factor $2$ out of $2$ .

$\frac{2 (3^{3} \cdot (6 - 1))}{2 (1)}$

Cancel the common factor.

$\frac{2 (3^{3} \cdot (6 - 1))}{2 \cdot 1}$

Rewrite the expression.

$\frac{3^{3} \cdot (6 - 1)}{1}$

Divide $3^{3} \cdot (6 - 1)$ by $1$ .

$3^{3} \cdot (6 - 1)$

$3^{3} \cdot (6 - 1)$

$3^{3} \cdot (6 - 1)$

Simplify the expression.

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

$27 \cdot (6 - 1)$

Subtract $1$ from $6$ .

$27 \cdot 5$

Multiply $27$ by $5$ .

$135$

$135$

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