Evaluate 17-(2^5)÷4+6

$17 - 2^{5} \div 4 + 6$

Step 1

Find the common denominator.

Write $17$ as a fraction with denominator $1$ .

$\frac{17}{1} - 2^{5} \div 4 + 6$

Multiply $\frac{17}{1}$ by $\frac{4}{4}$ .

$\frac{17}{1} \cdot \frac{4}{4} - 2^{5} \div 4 + 6$

Multiply $\frac{17}{1}$ by $\frac{4}{4}$ .

$\frac{17 \cdot 4}{4} - 2^{5} \div 4 + 6$

Write $6$ as a fraction with denominator $1$ .

$\frac{17 \cdot 4}{4} - 2^{5} \div 4 + \frac{6}{1}$

Multiply $\frac{6}{1}$ by $\frac{4}{4}$ .

$\frac{17 \cdot 4}{4} - 2^{5} \div 4 + \frac{6}{1} \cdot \frac{4}{4}$

Multiply $\frac{6}{1}$ by $\frac{4}{4}$ .

$\frac{17 \cdot 4}{4} - 2^{5} \div 4 + \frac{6 \cdot 4}{4}$

Step 2

Combine the numerators over the common denominator.

$\frac{17 \cdot 4 - 2^{5} + 6 \cdot 4}{4}$

Step 3

Simplify each term.

Multiply $17$ by $4$ .

$\frac{68 - 2^{5} + 6 \cdot 4}{4}$

Raise $2$ to the power of $5$ .

$\frac{68 - 1 \cdot 32 + 6 \cdot 4}{4}$

Multiply $- 1$ by $32$ .

$\frac{68 - 32 + 6 \cdot 4}{4}$

Multiply $6$ by $4$ .

$\frac{68 - 32 + 24}{4}$

Step 4

Simplify the expression.

Subtract $32$ from $68$ .

$\frac{36 + 24}{4}$

Add $36$ and $24$ .

$\frac{60}{4}$

Divide $60$ by $4$ .

$15$