2 to the 2nd exponet x 3 x5 to the 4th exponent x 8 x 11 to the 2nd exponent is not a prime factoration right? because of the 8 ?

Right

8 is not prime

Thank you!!!!!!!!!!!!!!!!

8=2^3

(2^3)^11=2^33

So would the correct prime factorization

be 2 to the 2nd exponent x 3 x 5 to the 4th exponent x 2 the 3rd exponenetx 11 to the 2nd ?

To determine if the expression 2^2 x 3 x 5^4 x 8 x 11^2 is a prime factorization, we need to check if all the factors are prime numbers.

First, let's break down the expression:

2^2 = 2 x 2 (prime factorization of 2^2)
5^4 = 5 x 5 x 5 x 5 (prime factorization of 5^4)
11^2 = 11 x 11 (prime factorization of 11^2)

Now, we can rewrite the expression using the prime factorizations:

2^2 x 3 x 5^4 x 8 x 11^2 = (2 x 2) x 3 x (5 x 5 x 5 x 5) x 8 x (11 x 11)

Simplifying further:

= 4 x 3 x 625 x 8 x 121

= 978,000

Now, we can see that 978,000 is not a prime factorization because it includes composite factors such as 4 (2 x 2), 8 (2 x 2 x 2), and 625 (5 x 5 x 5 x 5).

Therefore, 2^2 x 3 x 5^4 x 8 x 11^2 is not a prime factorization.