Ex 11.2, 4 (i) - Chapter 11 Class 7 Exponents and Powers

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Ex 11.2, 4 Express each of the following as a product of prime factors only in exponential form: (i) 108 × 192 108 × 192 2|108 2|54 3|27 3|9 3|3 |1 2|192 2|96 2|48 2|24 2|12 2|6 2|3 |1 ∴ 108 = 2 × 2 × 3 × 3 × 3 = 22 × 33 ∴ 192 = 2 × 2 × 2 × 2 × 2 × 2 × 3 = 26 × 3 So, 108 × 192 = (22 × 33) × (26 × 3) = 22 × 26 × 33 × 3 As am × bm = (a × b)m = 22 + 6 × 33 + 1 = 28 × 34