Simplify 3*3^2+8÷2-(4+3)

$3 \cdot 3^{2} + 8 \div 2 - (4 + 3)$

Step 1

Find the common denominator.

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

$\frac{3 \cdot 3^{2}}{1} + 8 \div 2 - (4 + 3)$

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

$\frac{3 \cdot 3^{2}}{1} \cdot \frac{2}{2} + 8 \div 2 - (4 + 3)$

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

$\frac{3 \cdot 3^{2} \cdot 2}{2} + 8 \div 2 - (4 + 3)$

Write $- (4 + 3)$ as a fraction with denominator $1$ .

$\frac{3 \cdot 3^{2} \cdot 2}{2} + 8 \div 2 + \frac{- (4 + 3)}{1}$

Multiply $\frac{- (4 + 3)}{1}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 3^{2} \cdot 2}{2} + 8 \div 2 + \frac{- (4 + 3)}{1} \cdot \frac{2}{2}$

Multiply $\frac{- (4 + 3)}{1}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 3^{2} \cdot 2}{2} + 8 \div 2 + \frac{- (4 + 3) \cdot 2}{2}$

Step 2

Combine the numerators over the common denominator.

$\frac{3 \cdot 3^{2} \cdot 2 + 8 - (4 + 3) \cdot 2}{2}$

Step 3

Simplify each term.

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

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

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

$\frac{3^{1} \cdot 3^{2} \cdot 2 + 8 - (4 + 3) \cdot 2}{2}$

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

$\frac{3^{1 + 2} \cdot 2 + 8 - (4 + 3) \cdot 2}{2}$

Add $1$ and $2$ .

$\frac{3^{3} \cdot 2 + 8 - (4 + 3) \cdot 2}{2}$

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

$\frac{27 \cdot 2 + 8 - (4 + 3) \cdot 2}{2}$

Multiply $27$ by $2$ .

$\frac{54 + 8 - (4 + 3) \cdot 2}{2}$

Add $4$ and $3$ .

$\frac{54 + 8 - 1 \cdot 7 \cdot 2}{2}$

Multiply $- 1 \cdot 7 \cdot 2$ .

Multiply $- 1$ by $7$ .

$\frac{54 + 8 - 7 \cdot 2}{2}$

Multiply $- 7$ by $2$ .

$\frac{54 + 8 - 14}{2}$

Step 4

Simplify the expression.

Add $54$ and $8$ .

$\frac{62 - 14}{2}$

Subtract $14$ from $62$ .

$\frac{48}{2}$

Divide $48$ by $2$ .

$24$

Simplify 3*3^2+8÷2-(4+3)

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