1. **State the problem:** Simplify the expression $ (2p)^0 $ where $ p > 0 $. 2. **Recall the zero exponent rule:** For any nonzero number or expression $ a $, $ a^0 = 1 $. This means any base raised to the zero power equals 1, as long as the base is not zero. 3. **Apply the rule:** Since $ p > 0 $, the base $ 2p $ is also greater than zero and not zero. Therefore, $ (2p)^0 = 1 $. 4. **Final answer:** The simplified form of $ (2p)^0 $ is $ 1 $.