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Q.

Express 216 as a power of prime factor product.

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a

b

c

d

answer is C.

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Detailed Solution

Concept- We'll apply the prime factorization technique in this case. Finding the prime factors of a given number so that we may multiply the prime factors to get the original number is what the prime factorization method entails.
We shall first divide 216 into smaller components. This would be

for 216,

again when we divide 108 into smaller parts,

for 108, and so on. This technique will be carried out repeatedly until all of the factors are prime numbers.
To better comprehend it, let's take it step by step:

We shall now write 216 as a power of prime factor product.
Therefore, the final response would be

.
Hence, option 3 is correct.

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Express 216 as a power of prime factor product.