Verify exponential function

1. Oct 10, 2013

yungman

1. The problem statement, all variables and given/known data
I want to verify
$$j^{-p}=e^{-j\frac{p\pi}{2}}$$

2. Relevant equations

$$e^{j\frac{\pi}{2}}=\cos(\frac{\pi}{2})+j\sin(\frac{\pi}{2})=j$$

3. The attempt at a solution

$$j^{-p}=(e^{j\frac{\pi}{2}})^{-p}=e^{-j\frac{p\pi}{2}}$$

Am I correct?
Thanks

2. Oct 10, 2013

Yes.