Solve 2i^3-15i^8-3i^5+4i

$$2 i ^ { 3 } - 15 i ^ { 8 } - 3 i ^ { 5 } + 4 i$$

Evaluate

$$-15-i$$

Solution Steps

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

$$2\left(-i\right)-15i^{8}-3i^{5}+4i$$

Multiply 2 and -i to get -2i.

$$-2i-15i^{8}-3i^{5}+4i$$

Calculate i to the power of 8 and get 1.

$$-2i-15\times 1-3i^{5}+4i$$

Multiply 15 and 1 to get 15.

$$-2i-15-3i^{5}+4i$$

Calculate i to the power of 5 and get i.

$$-2i-15-3i+4i$$

Do the additions in -2i-15-3i.

$$-15-5i+4i$$

Do the additions.

$$-15-i$$

Real Part

$$-15$$

Solution Steps

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

$$Re(2\left(-i\right)-15i^{8}-3i^{5}+4i)$$

Multiply 2 and -i to get -2i.

$$Re(-2i-15i^{8}-3i^{5}+4i)$$

Calculate i to the power of 8 and get 1.

$$Re(-2i-15\times 1-3i^{5}+4i)$$

Multiply 15 and 1 to get 15.

$$Re(-2i-15-3i^{5}+4i)$$

Calculate i to the power of 5 and get i.

$$Re(-2i-15-3i+4i)$$

Do the additions in -2i-15-3i.

$$Re(-15-5i+4i)$$

Do the additions in -15-5i+4i.

$$Re(-15-i)$$

The real part of -15-i is -15.

$$-15$$