It's like a day without sunshine. All that means is to write out the repeated prime factors.
The prime factorization of 900 without exponents: 2 x 2 x 3 x 3 x 5 x 5
The prime factorization of 900 with exponents: 22 x 32 x 52
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2 x 41 = 82 No exponents are needed.
3 x 7 = 21 No exponents necessary.
The prime factorization of 50 using exponents is 21 x 52
32*5*7 = 315
96 = 25 x 31