Exponents show up in many different kinds of math problems. Exponents can also be said in a different way, for examle x to the third power or three sqaured. lets say that you have three to the second power, how would you solve that? Exponents are that same as saying three times three or  two times two times two, it all depends on what power you number is to. 
     You can also have a number to the power of zero, which would be the same as saying a number multipled by its self no times.Exponents show up in many different kinds of problems. Such as order of opperation problems. Solving for expoenets are the second thing that you would solve in that problem. According to G.E.M.S.