Find the 4th roots 6

Express 6 in the exponential form of (6*exp(2πin)), where n is an integertake the fourth root of this, remembering that taking the fourth root is taking to the power of 1/4, and by rules of indices the expression in the exponent must be divided by 4This gives (61/4 *exp(πin/2))Taking n = 0,1,2,3 gives four distinct roots, any larger n gives repeated roots

NP
Answered by Nishil P. Further Mathematics tutor

3099 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Express sin(5theta) in terms of sin(theta) and powers of sin(theta) only.


In simple harmonic motion, where would the object have the largest speed. If the angular velocity is 2 rad s^-1, and the amplitude is 1m, what is the largest speed obtained by the object?


FP3- Find the eigenvalues and the eigenvector for the negative eigenvalue, from this 2x2 matrix of columns (2,1) and (3,0)


A spring with a spring constant k is connected to the ceiling. First a weight of mass m is connected to the spring. Deduce the new equilibrium position of the spring, find its equation of motion and hence deduce its frequency f.


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2026 by IXL Learning