Write 625 using exponents in as many ways as you can

First, you can factor out 625 using the 'tree' method or the 'ladder' method.

625

/ /

5 125

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5 25

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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