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

392

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2 − 3 × 7 − 2

25 × 72

23 × 78

23 × 72

answer is D.

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Detailed Solution

Given number is 392.
The process of determining which prime numbers combine to form the original number is known as "prime factorization."
Prime factorization of 392.
= 2

× 2 × 2 × 7 × 7

= 23 × 72

The product of powers of prime factors of 392 is

23 × 72

.
Therefore, the correct option is 4.

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