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

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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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