Exponents are just a way of notating repeated factors.
The prime factorization of 72 is 2 x 2 x 2 x 3 x 3
The prime factorization of 72 is 2^3 x 3^2
2 is already prime. It doesn't need a factorization.
When prime factorizations have repeated factors, it is frequently easier to write them with exponents.
2 x 2 x 2 x 3 x 3 x 3 = 216
23 * 33 = 216
5 x 17 = 85 No exponents are needed.
It is: 23*53 = 1000
23 x 29
The prime factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5. In exponential notation, that's 22 x 32 x 52
2 x 32 = 18
112*172 = 34969
It is: 2^2*3^3*5 =540
23 x 29
22 x 131
31 x 291
48 = 2⁴×3
22 x 13 = 52
22 x 7 = 28
If that's 18225, the answer is 36 x 52
3 x 5 x 5 = 75
24 x 32 x 11 = 1584
The prime factorization of 36 written in exponential notation is: 22 x 32
If that's 1568, the answer is 25 x 72
28 = 256