(2x+5+8)/x-2 there should be a remainder left, pls help

Explain how you divide powers with like bases. discuss why the bases have to be the same. how are these rules similar to the rules for multiplying powers with like bases.

If a and −a are numbers on the number line, which expression must give the distance between them? a) 0 b) a c) |2a| d) |a|

Candice uses the function f(t)=t+100−−−−−−√ to model the number of students in her after-school program. the variable t represents days and f(t) represents the number of students. how many days does it take for there to be 15 students in her program? a. 225 days b. 125 days c. 325 days d. 115 days