Simplify 4-16÷4+4^2

$4 - 16 \div 4 + 4^{2}$

Find the common denominator.

Write $4$ as a fraction with denominator $1$ .

$\frac{4}{1} - 16 \div 4 + 4^{2}$

Multiply $\frac{4}{1}$ by $\frac{4}{4}$ .

$\frac{4}{1} \cdot \frac{4}{4} - 16 \div 4 + 4^{2}$

Multiply $\frac{4}{1}$ by $\frac{4}{4}$ .

$\frac{4 \cdot 4}{4} - 16 \div 4 + 4^{2}$

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

$\frac{4 \cdot 4}{4} - 16 \div 4 + \frac{4^{2}}{1}$

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

$\frac{4 \cdot 4}{4} - 16 \div 4 + \frac{4^{2}}{1} \cdot \frac{4}{4}$

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

$\frac{4 \cdot 4}{4} - 16 \div 4 + \frac{4^{2} \cdot 4}{4}$

Combine the numerators over the common denominator.

$\frac{4 \cdot 4 - 16 + 4^{2} \cdot 4}{4}$

Simplify each term.

Multiply $4$ by $4$ .

$\frac{16 - 16 + 4^{2} \cdot 4}{4}$

Multiply $4^{2}$ by $4$ by adding the exponents.

Multiply $4^{2}$ by $4$ .

Raise $4$ to the power of $1$ .

$\frac{16 - 16 + 4^{2} \cdot 4^{1}}{4}$

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

$\frac{16 - 16 + 4^{2 + 1}}{4}$

Add $2$ and $1$ .

$\frac{16 - 16 + 4^{3}}{4}$

Raise $4$ to the power of $3$ .

$\frac{16 - 16 + 64}{4}$

Simplify the expression.

Subtract $16$ from $16$ .

$\frac{0 + 64}{4}$

Add $0$ and $64$ .

$\frac{64}{4}$

Divide $64$ by $4$ .

$16$