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Ex 12.1, 5 - Find the value of m for which 5^m รท 5^-3 = 5^5

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Ex 12.1, 5 Find the value of m for which 5^๐‘š รท 5^(โˆ’3) = 5^(โˆ’5) 5^๐‘š รท 5^(โˆ’3) = 5^(โˆ’5) 5^๐‘š/5^(โˆ’ 3) = 5^5 5^๐‘šร—5^3 = 5^5 5^(๐‘š + 3) = 5^5 Comparing powers m + 3 = 5 m = 5 โˆ’ 3 m = 2 (๐‘ˆ๐‘ ๐‘–๐‘›๐‘” ๐‘Ž^๐‘šร—๐‘Ž^๐‘›=๐‘Ž^(๐‘š + ๐‘›) )

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Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.