Soul Exchange lets you switch the control of your Psychic Monster with one of your opponent's.
Psi-Impulse lets you Special Summon a Psychic monster from your hand if you control a Psychic monster.
The Key: You do not have to tribute the Psychic monster you gained control of through Soul Exchange to activate Psi-Impulse.
Why?
* Psi-Impulse's Requirement: Psi-Impulse states you need to control a Psychic monster, not a Psychic monster *you own*.
* Control, Not Ownership: Soul Exchange simply shifts control of the monster, it doesn't change its ownership. You are now controlling a Psychic monster, meeting the conditions of Psi-Impulse.
Example:
1. You control a "Normal" monster.
2. Your opponent controls "Psychic Monster A."
3. You activate Soul Exchange, taking control of "Psychic Monster A."
4. You can now activate Psi-Impulse and Special Summon a Psychic monster from your hand. You do not have to tribute the Psychic monster you gained control of.
Important Note: You *can* still choose to tribute "Psychic Monster A" to activate Psi-Impulse if you want to, but it is not required.