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Ex 10.1, 7 (i) - Chapter 10 Class 8 Exponents and Powers

Last updated at July 24, 2023 by

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Ex 10.1, 7 Simplify. (i) (25 × 𝑡^(−4))/(5^(−3 ) × 10 × 𝑡^(−8) ) (t ≠0) (25 × 𝑡^(−4))/(5^(−3 ) × 10 × 𝑡^(−8) ) = 𝟐𝟓/(𝟓^(−𝟑 )× 𝟏𝟎) × 𝒕^(−𝟒)/𝒕^(−𝟖) = 25/(5^(−3 )× 10) × 𝑡^(−4)×1/𝑡^(−8) = 25/(5^(−3 )× 10) × 1/𝑡^4 × 𝑡^8/1 = 𝟐𝟓/(𝟓^(−𝟑 )× 𝟏𝟎) × 𝒕^𝟖/𝒕^𝟒 = 25/(5^(−3 )× 10) × 𝑡^(8 − 4) = 𝟐𝟓/(𝟓^(−𝟑 )× 𝟏𝟎) × 𝒕^𝟒 = 25/((1/5^3 ) × 10) × 𝑡^4 = (𝟐𝟓 × 𝟓^𝟑)/𝟏𝟎 × 𝒕^𝟒 = (25 × 5 × 5 × 5)/10 × 𝑡^4 = (25 × 5 × 5)/2 × 𝑡^4 = 𝟔𝟐𝟓/𝟐 𝒕^𝟒

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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.