Evaluate 108÷(3(9+3^2))

$108 \div (3 (9 + 3^{2}))$

Rewrite the division as a fraction.

$\frac{108}{3 (9 + 3^{2})}$

Cancel the common factor of $108$ and $3$ .

Factor $3$ out of $108$ .

$\frac{3 \cdot 36}{3 (9 + 3^{2})}$

Cancel the common factors.

Cancel the common factor.

$\frac{3 \cdot 36}{3 (9 + 3^{2})}$

Rewrite the expression.

$\frac{36}{9 + 3^{2}}$

$\frac{36}{9 + 3^{2}}$

$\frac{36}{9 + 3^{2}}$

Simplify the denominator.

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

$\frac{36}{9 + 9}$

Add $9$ and $9$ .

$\frac{36}{18}$

$\frac{36}{18}$

Divide $36$ by $18$ .

$2$

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