Math Help - Argument problem

1. Argument problem

Determine the principal value of $(3+j4)^{1+j2}$ ?

2. Are you asking the find the principal argument of $\displaystyle (3 + j^4)^{1 + j^2}$ with $\displaystyle j= \sqrt{-1}$?

If not, what are $\displaystyle j4$ and $\displaystyle j2$?

3. $\displaystyle (3+j 4)^{1+j 2}= e^{(\ln 5 + j\ \tan^{-1} \frac{4}{3})\ (1+j 2)}= e^{(\ln 5 -2\ \tan^{-1} \frac{4}{3}) + j (2 \ln 5 + \tan^{-1} \frac{4}{3})}$

Kind regards

$\chi$ $\sigma$

4. Is it wrong to note that $\displaystyle 1 + j^2 = 1 - 1 = 0$,

so $\displaystyle (3 + j^4)^{1 + j^2} = (3 + j^4)^0 = 1 + 0i$?

5. Originally Posted by dugongster
Determine the principal value of $(3+j4)^{1+j2}$ ?
If this problem is really "Determine the principal value of" $(3+4i)^{1+2i}$, then that is truly a make-busy work problem.