The value of (i)457=(i)456+1=(i)4×114(i)=1×i=i[∵i4n=1]

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

( i )^{457}

Question

$(i)^{457}$

- 1

- i

i

1

Views: 523 students

Found 3 tutors discussing this question

Henry Discussed

(i)^{457}

8 mins ago

Discuss this question LIVE

8 mins ago

Text solutionVerified

The value of

(i)^{457}

= (i)^{456 + 1}

= (i)^{4 \times 114} (i)

= 1 \times i

= i [∵ i^{4 n} = 1]

Was this solution helpful?

150

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