Solve 166^3-34^3/152+186^circ39

$$\frac { 166 ^ { 3 } - 34 ^ { 3 } } { 152 } + 186 ^ { \circ } 39$$

Evaluate

$$\frac{704700}{19}\approx 37089.473684211$$

Solution Steps

Calculate 166 to the power of 3 and get 4574296.

$$\frac{4574296-34^{3}}{152}+186\times 39$$

Calculate 34 to the power of 3 and get 39304.

$$\frac{4574296-39304}{152}+186\times 39$$

Subtract 39304 from 4574296 to get 4534992.

$$\frac{4534992}{152}+186\times 39$$

Reduce the fraction \frac{4534992}{152} to lowest terms by extracting and canceling out 8.

$$\frac{566874}{19}+186\times 39$$

Multiply 186 and 39 to get 7254.

$$\frac{566874}{19}+7254$$

Convert 7254 to fraction \frac{137826}{19}.

$$\frac{566874}{19}+\frac{137826}{19}$$

Since \frac{566874}{19} and \frac{137826}{19} have the same denominator, add them by adding their numerators.

$$\frac{566874+137826}{19}$$

Add 566874 and 137826 to get 704700.

$$\frac{704700}{19}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {5} \cdot 5 ^ {2} \cdot 29}{19} = 37089\frac{9}{19} = 37089.47368421053$$