Solve --1^3/6+20(-1)+12000

$$- \frac{ { -1 }^{ 3 } }{ 6 } +20(-1)+12000$$

Evaluate

$$\frac{71881}{6}\approx 11980.166666667$$

Solution Steps

Calculate -1 to the power of 3 and get -1.

$$-\frac{-1}{6}+20\left(-1\right)+12000$$

Fraction \frac{-1}{6} can be rewritten as -\frac{1}{6} by extracting the negative sign.

$$-\left(-\frac{1}{6}\right)+20\left(-1\right)+12000$$

The opposite of -\frac{1}{6} is \frac{1}{6}.

$$\frac{1}{6}+20\left(-1\right)+12000$$

Multiply 20 and -1 to get -20.

$$\frac{1}{6}-20+12000$$

Convert 20 to fraction \frac{120}{6}.

$$\frac{1}{6}-\frac{120}{6}+12000$$

Since \frac{1}{6} and \frac{120}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1-120}{6}+12000$$

Subtract 120 from 1 to get -119.

$$-\frac{119}{6}+12000$$

Convert 12000 to fraction \frac{72000}{6}.

$$-\frac{119}{6}+\frac{72000}{6}$$

Since -\frac{119}{6} and \frac{72000}{6} have the same denominator, add them by adding their numerators.

$$\frac{-119+72000}{6}$$

Add -119 and 72000 to get 71881.

$$\frac{71881}{6}$$

Factor

$$\frac{71881}{2 \cdot 3} = 11980\frac{1}{6} = 11980.166666666666$$