Evaluate (3^24)÷18+306-1

$3^{2} \cdot 4 \div 18 + 30 \cdot 6 - 1$

Find the common denominator.

Write $30 \cdot 6$ as a fraction with denominator $1$ .

$3^{2} \cdot 4 \div 18 + \frac{30 \cdot 6}{1} - 1$

Multiply $\frac{30 \cdot 6}{1}$ by $\frac{18}{18}$ .

$3^{2} \cdot 4 \div 18 + \frac{30 \cdot 6}{1} \cdot \frac{18}{18} - 1$

Multiply $\frac{30 \cdot 6}{1}$ by $\frac{18}{18}$ .

$3^{2} \cdot 4 \div 18 + \frac{30 \cdot 6 \cdot 18}{18} - 1$

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

$3^{2} \cdot 4 \div 18 + \frac{30 \cdot 6 \cdot 18}{18} + \frac{- 1}{1}$

Multiply $\frac{- 1}{1}$ by $\frac{18}{18}$ .

$3^{2} \cdot 4 \div 18 + \frac{30 \cdot 6 \cdot 18}{18} + \frac{- 1}{1} \cdot \frac{18}{18}$

Multiply $\frac{- 1}{1}$ by $\frac{18}{18}$ .

$3^{2} \cdot 4 \div 18 + \frac{30 \cdot 6 \cdot 18}{18} + \frac{- 1 \cdot 18}{18}$

Combine the numerators over the common denominator.

$\frac{3^{2} \cdot 4 + 30 \cdot 6 \cdot 18 - 1 \cdot 18}{18}$

Simplify each term.

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

$\frac{9 \cdot 4 + 30 \cdot 6 \cdot 18 - 1 \cdot 18}{18}$

Multiply $9$ by $4$ .

$\frac{36 + 30 \cdot 6 \cdot 18 - 1 \cdot 18}{18}$

Multiply $30$ by $6$ .

$\frac{36 + 180 \cdot 18 - 1 \cdot 18}{18}$

Multiply $180$ by $18$ .

$\frac{36 + 3240 - 1 \cdot 18}{18}$

Multiply $- 1$ by $18$ .

$\frac{36 + 3240 - 18}{18}$

Simplify the expression.

Add $36$ and $3240$ .

$\frac{3276 - 18}{18}$

Subtract $18$ from $3276$ .

$\frac{3258}{18}$

Divide $3258$ by $18$ .

$181$

Evaluate (3^2*4)÷18+30*6-1