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Q.

Express 216 as a power of prime factor product.


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a

Question Image

b

Question Image

c

Question Image

d

Question Image 

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 Question Image for 216, Question Image again when we divide 108 into smaller parts, Question Image 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:
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageWe shall now write 216 as a power of prime factor product.
Therefore, the final response would be Question Image.
Hence, option 3 is correct.
 
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