How do you find the power (3−5i)4 and express the result in rectangular form?

Connor Randall

Connor Randall

Answered

2022-02-02

How do you find the power (35i)4 and express the result in rectangular form?

Answer & Explanation

eris0cg

eris0cg

Expert

2022-02-03Added 13 answers

Step 1
We can use the binomial theorem to expand the expression. (The binomial coefficient from Pascals triangle are 1, 4, 6, 4, 1)
(35i)4=(3)4+4(3)3(5i)+6(3)2(5i)2+4(3)(5i)3+(5i)4
=81+108(5i)+54(25i2)+12(125i3)+(625i4)
=81540i+1350(1)1500(i)+625(1)
=81540i1350+1500i+625
=644+960i

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get your answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?