Express the prime factorization of 1,200 as a product of prime numbers with exponents.(2 points)

_⁴ ⋅ _ ⋅ _ ² = 1,200

To express the prime factorization of 1,200 as a product of prime numbers with exponents, we'll break down 1,200 into its prime factors and then use exponents to represent the repeated factors.

1200 = 2 × 2 × 2 × 2 × 3 × 5 × 5
1200 = 2⁴ × 3 × 5²

So the expression would be:

2⁴ ⋅ 3 ⋅ 5² = 1,200