Do you have ____ broom? I drooped ____ piece of cake and i need to clean it up.

Do you have ____ broom? I drooped ____ piece of cake and i need to clean it up.

Explanation

"Do you have a broom?" – we use "a" before singular countable nouns that are mentioned for the first time.

"I dropped a piece of cake" – again, "a" is used as it's a non-specific, singular item.