Solve 104div[5-2^3div(sqrt{36}+4-70div35)]

$$104 \div [ 5 - 2 ^ { 3 } \div ( \sqrt { 36 } + 4 - 70 \div 35 ) ]$$

Evaluate

$$26$$

Solution Steps

Calculate 2 to the power of 3 and get 8.

$$\frac{104}{5-\frac{8}{\sqrt{36}+4-\frac{70}{35}}}$$

Calculate the square root of 36 and get 6.

$$\frac{104}{5-\frac{8}{6+4-\frac{70}{35}}}$$

Add 6 and 4 to get 10.

$$\frac{104}{5-\frac{8}{10-\frac{70}{35}}}$$

Divide 70 by 35 to get 2.

$$\frac{104}{5-\frac{8}{10-2}}$$

Subtract 2 from 10 to get 8.

$$\frac{104}{5-\frac{8}{8}}$$

Divide 8 by 8 to get 1.

$$\frac{104}{5-1}$$

Subtract 1 from 5 to get 4.

$$\frac{104}{4}$$

Divide 104 by 4 to get 26.

$$26$$

Factor

$$2\times 13$$