Question

How do you multiply `e^(( 15 pi )/ 8 i) * e^( pi/2 i )` in trigonometric form?

Answer 1

`e^((19pii)/8)`

Explanation:

When multiplying two numbers that are raised to powers, you add the powers.
Therefore `e^((15pii)/8)*e^((pii)/2)`
`=e^((15/8+1/2)*pii)`
`=e^((19pii)/8)`