Express each of the following as a product of prime factors only in exponential form: (i) `108 xx 192` (ii) `270` (iii) `729 xx 64` (iv) `768`

Explanation

To express each of the given numbers as a product of prime factors in exponential form, we will follow a systematic approach. Let's solve each part step by step.

### (i) Express `108 x 192` as a product of prime factors in exponential form:

1. **Prime Factorization of 108:**
- Divide by 2: \( 108 \div 2 = 54 \)
- Divide by 2: \( 54 \div 2 = 27 \)
- Divide by 3: \( 27 \div 3 = 9 \)
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