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crimeas [40]
2 years ago
3

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

Mathematics
2 answers:
hammer [34]2 years ago
6 0

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}


zubka84 [21]2 years ago
5 0
2(a) * 3(b) = 324

a = 2
b = 4 
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