Teacher:Given a sentence in Tagalog language, translate the sentence to English language keeping the meaning of the original sentence intact.
Teacher: Now, understand the problem? Solve this instance: Tagalog sentence: 1 Ipakita na may isang set ng mga hiwalay positive integers tulad na ang kabuuan ng isa o higit pang mga elemento ng set ay hindi isang parisukat, kubo, o mas mataas na kapangyarihan.
Student:
1 Show that there is a set of distinct positive integers such that the sum of one or more elements of the set is never a square, cube, or higher power.