You don't find the prime factorization by using exponents, they're just a shorthand for notation once you find it. The prime factorization of 900 is 22 x 32 x 52
24*3
(a) what is the prime factorization of 5184 using exponents? (b)Use the answer (a) to find the square root of 5184
48 = 24 × 3
As a product of its prime factors using exponents: 2^3 times 3 times 5 = 120
Find the prime factorization of the number 32 use exponents when possible
42=2^3*7
48 = 24 × 3
The prime factorization of 90 with exponents is: 2 x 32 x 5
321 = 3*107
24 x 3 = 48
2^3 x 3 = 24