Simplify 2^4-24÷3+1

$2^{4} - 24 \div 3 + 1$

Find the common denominator.

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

$\frac{2^{4}}{1} - 24 \div 3 + 1$

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

$\frac{2^{4}}{1} \cdot \frac{3}{3} - 24 \div 3 + 1$

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

$\frac{2^{4} \cdot 3}{3} - 24 \div 3 + 1$

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

$\frac{2^{4} \cdot 3}{3} - 24 \div 3 + \frac{1}{1}$

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

$\frac{2^{4} \cdot 3}{3} - 24 \div 3 + \frac{1}{1} \cdot \frac{3}{3}$

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

$\frac{2^{4} \cdot 3}{3} - 24 \div 3 + \frac{3}{3}$

Combine the numerators over the common denominator.

$\frac{2^{4} \cdot 3 - 24 + 3}{3}$

Simplify each term.

Raise $2$ to the power of $4$ .

$\frac{16 \cdot 3 - 24 + 3}{3}$

Multiply $16$ by $3$ .

$\frac{48 - 24 + 3}{3}$

Simplify the expression.

Subtract $24$ from $48$ .

$\frac{24 + 3}{3}$

Add $24$ and $3$ .

$\frac{27}{3}$

Divide $27$ by $3$ .

$9$