Final answer:
The prime factorization of 2499 is 3^1 * 83^1 * 2^1 * 5^1; thus, none of the given options A, B, C, or D are correct representations of multiples of 2499 in exponent form.
Step-by-step explanation:
To write all multiples for 2499 in exponents, we first need to factorize the number. This requires finding prime numbers that multiply together to give 2499. Let's perform the prime factorization of 2499:
- 2499 is not divisible by 2, as it is an odd number.
- Dividing by 3, we find 2499 is not divisible by 3 either.
- Proceeding with prime numbers, 2499 ÷ 7 = 357, which is not an integer, so 7 is not a factor.
- Continuing the process, we find that 2499 ÷ 83 = 30, which is not an integer.
- Eventually, we find that 2499 is divisible by 83 and 30 is also 3*10, which gives us 2499 = 83 * 3 * 10.
- Next, we need to express 10 as powers of prime numbers, which is 2 * 5.
- So, 2499 = 83 * 3 * (2 * 5).
However, 83 itself is a prime number. Therefore, the prime factorization of 2499 is 3^1 * 83^1 * 2^1 * 5^1. None of the options A, B, C, or D provided matches this result, which means none of them correctly represent multiples of 2499 in exponent form.