A positive number that is not equal to zero that is reaised to a negative number is less than one becasue you have to multiply by the reciprical. For example let's take  5^-2 equals 1/25. It equals this because you have to multiply 5 by its reciprical which is 1/5 by a positive because a negative times a negative equals a positive. So then if you multiply 1/5 by 2 it equals 1/25. In conclusion you have to take the reciprical of the positive number than by the second number (which will always be a positive because if a negative is multiplied by a negative it equals a positive.
A positive by a positive always equals a positive as well so there is no changes to be done. Then you have to multiply those two numbers and that is how you get the answer. I tis also smaller than one because it multiplyed by the reciprical which is a fraction.
 
       I know that exponents are used in math equations and that they are always solved into bigger numbers. I always see exponents in equations that follow the p.e.m.d.a.s rule and they are the second thing to be solved in the equation. Exponents are basically numbers that are shortened to be bigger numbers if you were to solve them. They are usually used when that number is being multiplied by its number agai or multiple times. For example you might see an exponent in words, which usually say to the power of, that means it is multiplied to a certian number. 
      Exponents may be used in real life if you were to build a house. You would use them because you would need to put an amount of space inside of the shape you want to put.  For example if you were to build a room inside that house and it was to be a sqaure you would put the measure next to squared that means that  if the room was to be 26 feet it would be 26 ft with a 2 on top of the ft.