Why do I have to pay again on a purchased app for using another device?

I Purchased an app for $2.99 from my iPad. Now I have a new iPod touch and downloaded the app I purchased from iPad. But from my iPod touch, it's asking me if I want to purchase it again for $2.99. Why do I have to buy it again?

Has invited:

howapple - hello

Favor from:

Is the iPod signed into the same ID used to purchase the app on iPad?

Is it an iPad-only app? Some developers has separate apps for iPad and iPhone/iPod touch.

If not separate apps then did yo do:

Download your past purchases - Apple Support

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