Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If z =i^9 + i^{19}, then z is equal to

Question

If $z = i^{9} + i^{19}$ , then $z$ is equal to

0 + 0 i

1 + 0 i

0 + i

1 + 2 i

Views: 775 students

Found 2 tutors discussing this question

Camila Discussed

z = i^{9} + i^{19}

, then

z

is equal to

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

We have

z = i^{9} + i^{19}

= (i^{4})^{2} . i + (i^{4})^{4} . i^{3}

= i + i^{3}

[∵ i^{4} = 1]

= i - i

[∵ i^{3} = - i]

= 0

= 0 + 0 i

Was this solution helpful?

152

Report

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes