# How do you simplify 3i^2 - 4i^4 + 5i^8 + 3?

Mar 28, 2018

7

#### Explanation:

since that ${i}^{2 n}$ is equal to 1, so

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

is equal to

$3 - 4 + 5 + 3$

$7$