Check sibling questions

Example 7 - Simplify (i) {(1/3)^-2 - (1/2)^-3} / (1/4)^-2 (ii) (5/8)

 

 

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Transcript

Example 7 Simplify (i) {(1/3)^(−2)−" " (1/2)^(−3) } ÷ (1/4)^(−2) {(1/3)^(−2)−" " (1/2)^(−3) } ÷ (1/4)^(−2) = {1^(−2)/3^(−2) −1^(−3)/2^(−3) } ÷ 1^(−2)/4^(−2) = {1/3^(−2) −1/2^(−3) } ÷ 1/4^(−2) = {3^2−2^3 } ÷ 4^2 = {9−8} ÷ 16 = 1 ÷ 16 = 𝟏/𝟏𝟔 (𝑈𝑠𝑖𝑛𝑔 (𝑎/𝑏)^𝑚=𝑎^𝑚/𝑏^𝑚 ) (1 to the power any number is 1)

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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.