Solve 17-33div3+(-2)^2/(8-3)^2div5

$$\frac { 17 - 33 \div 3 + ( - 2 ) ^ { 2 } } { ( 8 - 3 ) ^ { 2 } \div 5 }$$

Evaluate

$$2$$

Solution Steps

Divide 33 by 3 to get 11.

$$\frac{17-11+\left(-2\right)^{2}}{\frac{\left(8-3\right)^{2}}{5}}$$

Subtract 11 from 17 to get 6.

$$\frac{6+\left(-2\right)^{2}}{\frac{\left(8-3\right)^{2}}{5}}$$

Calculate -2 to the power of 2 and get 4.

$$\frac{6+4}{\frac{\left(8-3\right)^{2}}{5}}$$

Add 6 and 4 to get 10.

$$\frac{10}{\frac{\left(8-3\right)^{2}}{5}}$$

Subtract 3 from 8 to get 5.

$$\frac{10}{\frac{5^{2}}{5}}$$

Calculate 5 to the power of 2 and get 25.

$$\frac{10}{\frac{25}{5}}$$

Divide 25 by 5 to get 5.

$$\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$2$$

Factor

$$2$$