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Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


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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

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.