identify which and which is not the prime factorization of a whole number

Question

3^4 divided by 5^2

2^2:5:18

3:7^2:9

2:5^3:13^2

HELPPP

Answer 1

To identify which one is not the prime factorization of a whole number, let's first find the value of 3^4 divided by 5^2.

3^4 = 81
5^2 = 25

So, 81/25 is the value we need to find the prime factorization of a whole number for.

Now, let's analyze the given options:

1) 2^2:5:18 - We can rewrite this as (2^2*5*18) = (4*5*18) = 360. This is not the same as 81/25, so this is not the prime factorization.

2) 3:7^2:9 - We can rewrite this as (3*7^2*9) = (3*49*9) = 1323. This is not the same as 81/25, so this is not the prime factorization.

3) 2:5^3:13^2 - We can rewrite this as (2*5^3*13^2) = (2*125*169) = 42250. This is not the same as 81/25, so this is not the prime factorization.

None of these options are the prime factorization of a whole number for 3^4 divided by 5^2 (81/25).