Solve (-15i+15-6i^12-4i^2)div-3

$$(-15i+15-6 { i }^{ 12 } -4 { i }^{ 2 } ) \div -3$$

Evaluate

$$-\frac{13}{3}+5i\approx -4.333333333+5i$$

Solution Steps

Calculate i to the power of 12 and get 1.

$$\frac{-15i+15-6\times 1-4i^{2}}{-3}$$

Multiply 6 and 1 to get 6.

$$\frac{-15i+15-6-4i^{2}}{-3}$$

Do the additions in -15i+15-6.

$$\frac{9-15i-4i^{2}}{-3}$$

Calculate i to the power of 2 and get -1.

$$\frac{9-15i-4\left(-1\right)}{-3}$$

Multiply 4 and -1 to get -4.

$$\frac{9-15i-\left(-4\right)}{-3}$$

The opposite of -4 is 4.

$$\frac{9-15i+4}{-3}$$

Add 9-15i and 4 to get 13-15i.

$$\frac{13-15i}{-3}$$

Divide 13-15i by -3 to get -\frac{13}{3}+5i.

$$-\frac{13}{3}+5i$$

Real Part

$$-\frac{13}{3} = -4\frac{1}{3} = -4.333333333333333$$

Solution Steps

Calculate i to the power of 12 and get 1.

$$Re(\frac{-15i+15-6\times 1-4i^{2}}{-3})$$

Multiply 6 and 1 to get 6.

$$Re(\frac{-15i+15-6-4i^{2}}{-3})$$

Do the additions in -15i+15-6.

$$Re(\frac{9-15i-4i^{2}}{-3})$$

Calculate i to the power of 2 and get -1.

$$Re(\frac{9-15i-4\left(-1\right)}{-3})$$

Multiply 4 and -1 to get -4.

$$Re(\frac{9-15i-\left(-4\right)}{-3})$$

The opposite of -4 is 4.

$$Re(\frac{9-15i+4}{-3})$$

Add 9-15i and 4 to get 13-15i.

$$Re(\frac{13-15i}{-3})$$

Divide 13-15i by -3 to get -\frac{13}{3}+5i.

$$Re(-\frac{13}{3}+5i)$$

The real part of -\frac{13}{3}+5i is -\frac{13}{3}.

$$-\frac{13}{3}$$