Question

Simplify 5(cis7pi/4)^4

Answer 1

`3cis\pi/256`

Answer 2

-625

Explanation:

The magnitude gets raised to the power, and the angle gets multiplied by the power:

5(cis7pi/4)^4 = (5^4)cis(4·7π/4) = 625cis(7π) = 625cis(π) = -625