Simplify 6÷3+3^2*4-2

$6 \div 3 + 3^{2} \cdot 4 - 2$

Find the common denominator.

Write $3^{2} \cdot 4$ as a fraction with denominator $1$ .

$6 \div 3 + \frac{3^{2} \cdot 4}{1} - 2$

Multiply $\frac{3^{2} \cdot 4}{1}$ by $\frac{3}{3}$ .

$6 \div 3 + \frac{3^{2} \cdot 4}{1} \cdot \frac{3}{3} - 2$

Multiply $\frac{3^{2} \cdot 4}{1}$ by $\frac{3}{3}$ .

$6 \div 3 + \frac{3^{2} \cdot 4 \cdot 3}{3} - 2$

Write $- 2$ as a fraction with denominator $1$ .

$6 \div 3 + \frac{3^{2} \cdot 4 \cdot 3}{3} + \frac{- 2}{1}$

Multiply $\frac{- 2}{1}$ by $\frac{3}{3}$ .

$6 \div 3 + \frac{3^{2} \cdot 4 \cdot 3}{3} + \frac{- 2}{1} \cdot \frac{3}{3}$

Multiply $\frac{- 2}{1}$ by $\frac{3}{3}$ .

$6 \div 3 + \frac{3^{2} \cdot 4 \cdot 3}{3} + \frac{- 2 \cdot 3}{3}$

Combine the numerators over the common denominator.

$\frac{6 + 3^{2} \cdot 4 \cdot 3 - 2 \cdot 3}{3}$

Simplify each term.

Multiply $3^{2}$ by $3$ by adding the exponents.

Move $3$ .

$\frac{6 + 3 \cdot 3^{2} \cdot 4 - 2 \cdot 3}{3}$

Multiply $3$ by $3^{2}$ .

Raise $3$ to the power of $1$ .

$\frac{6 + 3^{1} \cdot 3^{2} \cdot 4 - 2 \cdot 3}{3}$

Use the power rule $a^{m} a^{n} = a^{m + n}$ to combine exponents.

$\frac{6 + 3^{1 + 2} \cdot 4 - 2 \cdot 3}{3}$

Add $1$ and $2$ .

$\frac{6 + 3^{3} \cdot 4 - 2 \cdot 3}{3}$

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

$\frac{6 + 27 \cdot 4 - 2 \cdot 3}{3}$

Multiply $27$ by $4$ .

$\frac{6 + 108 - 2 \cdot 3}{3}$

Multiply $- 2$ by $3$ .

$\frac{6 + 108 - 6}{3}$

Simplify the expression.

Add $6$ and $108$ .

$\frac{114 - 6}{3}$

Subtract $6$ from $114$ .

$\frac{108}{3}$

Divide $108$ by $3$ .

$36$