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Ex 12.1, 7 (i) - Chapter 12 Class 8 Exponents and Powers

Last updated at March 23, 2023 by

Ex 12.1, 7 - Simplify (i) 25 x t^-4 / 5^-3 x 10 x t^-8 (ii) 3^-5 x 10

Ex 12.1, 7 - Chapter 12 Class 8 Exponents and Powers - Part 2

 

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Transcript

Ex 12.1, 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 (𝑈𝑠𝑖𝑛𝑔 𝑎^𝑚/𝑏^𝑛 =𝑎^(𝑚 − 𝑛) )

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