Solve 18:6^3-34^3+186*34=

$$18 : 6 ^ { 3 } - 34 ^ { 3 } + 186 \cdot 34 =$$

Evaluate

$$-\frac{395759}{12}\approx -32979.916666667$$

Solution Steps

Calculate 6 to the power of 3 and get 216.

$$\frac{18}{216}-34^{3}+186\times 34$$

Reduce the fraction \frac{18}{216} to lowest terms by extracting and canceling out 18.

$$\frac{1}{12}-34^{3}+186\times 34$$

Calculate 34 to the power of 3 and get 39304.

$$\frac{1}{12}-39304+186\times 34$$

Convert 39304 to fraction \frac{471648}{12}.

$$\frac{1}{12}-\frac{471648}{12}+186\times 34$$

Since \frac{1}{12} and \frac{471648}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-471648}{12}+186\times 34$$

Subtract 471648 from 1 to get -471647.

$$-\frac{471647}{12}+186\times 34$$

Multiply 186 and 34 to get 6324.

$$-\frac{471647}{12}+6324$$

Convert 6324 to fraction \frac{75888}{12}.

$$-\frac{471647}{12}+\frac{75888}{12}$$

Since -\frac{471647}{12} and \frac{75888}{12} have the same denominator, add them by adding their numerators.

$$\frac{-471647+75888}{12}$$

Add -471647 and 75888 to get -395759.

$$-\frac{395759}{12}$$

Factor

$$-\frac{395759}{12} = -32979\frac{11}{12} = -32979.916666666664$$