Answers>Further Mathematics>A Level>Article

Simplify i^{4}?

Simplify i⁴?

We know that i = -1^1/2

Therefore i²=-1

As i⁴=i²xi²

Then i⁴=-1x-1=1

HS

Answered by Harry S. • Further Mathematics tutor

3683 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

(FP1) Given k = q + 3i and z = w^2 - 8w* - 18q^2 i, and if w is purely imaginary, show that there is only one possible non-zero value of z

Show, using de Moivre's theorem, that sin 5x = 16 sin^(5) x - 20 sin^(3) x + 5 sin x

Prove that sum(k) from 0 to n is n(n+1)/2, by induction

a) Find the general solution to the differential equation: f(x)=y''-12y'-13y=8. b) Given that when x=0, y=0 and y'=1, find the particular solution to f(x).