Question

The prime factorization of 324 can be written as
2a • 3b, where a =
and b =

Answer 1

Step-by-step explanation:

The prime factorization of 324 is written as $2^{a}.3^{b}$.

Thus, in order to find the value of a and b, we have to factorize 324. Therefore, the prime factorization of 324 is as follows.

   324 = 2 × 2 × 3 × 3 × 3 × 3

Hence, it can be seen that 2 is repeating 2 times whereas 3 is repeating 4 times in prime factorization.  

Therefore, we can conclude that a = 2, and b = 4.

Thus, 324 = $2^{2}.3^{4}$

Answer 2

The prime factorization is the factorization of any number into prime numbers. The common prime factors are 2,3,5 and 7. The prime factorization of 324 is $2^2.3^4$. Thus, the value of a is 2 and the value of b is 4.

The prime factorization of 324 is written as $2^2.3^4$.

Thus, in order to find the value of a and b, we have to factorize 324. Therefore, the prime factorization of 324 is as follows.

  324 = 2 × 2 × 3 × 3 × 3 × 3

Thus, it can be rewrite as 324=$2^2.3^4$  

Hence, the value of a is 2 and the value of b is 4

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https://brainly.com/question/11423786