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Q.

Express the following number as a product of powers of their prime factors.


36


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a

2 −2 × 3 2

b

2 2 × 3 2

c

2 2 × 3 −2

d

2 0 × 3 2  

answer is B.

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Detailed Solution

Given number is 36.
"Prime Factorization" is finding which prime numbers multiply together to make the original number.
Calculate the prime factorization of 36.
36=2×2×3×3   = 2 2 × 3 2
The product of powers of prime factors of 36 is 2 2 × 3 2 .
Therefore, the correct option is 2.
 
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