Question

write 625 using exponents in as many ways as you can

Answer 1

First, you can factor out 625 using the 'tree' method or the 'ladder' method.
 625
 /    \
5    125
      /    \
     5    25
           /   \
          5    5
This means you can say that 625=5 to the power of 4
If your problem requires you to use only whole integers with exponents, then that would be the only way.
If not, then you can also do 625=25*5²