Simplify 5(cis7pi/4)^4

asked Aug 7, 2021 216k views

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2 votes

$3cis\pi/256$

Torfi answered Aug 9, 2021

by Torfi

4.7k points

3 votes

Answer:

-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

Abbii answered Aug 11, 2021

by Abbii

4.3k points

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