x to the power i -How to handle Complex power ?

`\color{brown}"The following steps explains i in power"`

`x^{a+ib}=x^{a}.x^{ib}=x^{a}.(e^{log(x)})^{ib}because x=e^{log(x)}`

`=x^a.e^{ib.log(x)}=x^{a}[cos(b.log(x))+isin(b.log(x))]`  (by de Moivres theorem)

In the above result put a=0 and b=1 results in

`x^i=[cos(log(x))+isin(log(x))]`

Comments

  1. tutorguru4 January 2019 at 23:05

    Best way to get avoid tension and Get our best service of assignment help UAE. That can help you to recover and complete your all assignments at very low and reasonable prices you can easily afford with your budget we bring assignment help Dubai services because we want you to be tension free from your essay writings and assignments. Assignment help UAEAssignment help UAE

    ReplyDelete

Post a Comment

Popular posts from this blog

Hyperbolic Paraboloid

Image
Graphs and Level curves of functions of Two variables Definitions The set of points (x,y) in the plane where a function f (x,y) has a constant value f(x,y)=c is called a level curve of f The set of all points (x,y,f (x,y)) in space, for (x,y) in the domain of f, is called the graph of f The graph of f is called the surface z=f (x,y) The equation of the following hyperbolic paraboloid is `z=50+x^2-y^2`
Read more

Quantum computing using IBM Q computing device

Image
IBM Q computing using QIS kit had made quantum computing very simple we can embed the python code for quantum computing in IBM Q notebook without much mess. We can run the code in simulator and interestingly we can run the code even in  IBM quantum computing device!!!! Please click the link Quantum computing enthusiast  IBM Qcomputing beta version A code showing Bell state and its drawing
Read more