Last updated at Dec. 16, 2024 by Teachoo
Example 4 Simplify and write the answer in the exponential form. (i)〖〖 (2〗^5 "÷ " 2^8)〗^5 × 2^(−5) 〖〖 (2〗^5 "÷ " 2^8)〗^5 × 2^(−5) = (2^5/2^8 )^5 × 2^(−5) = (2^(5 − 8) )^5 × 2^(−5) = (2^(−3) )^5 × 2^(−5) = (2^(−3 × 5) ) × 2^(−5) = 2^(−15) × 2^(−5) = 2^(−15 + (−5) ) (𝐴𝑠 𝑎^𝑚/𝑎^𝑛 =𝑎^(𝑚 − 𝑛) ) (𝐴𝑠 (𝑎^𝑚 )^𝑛=𝑎^𝑚𝑛 ) (𝐴𝑠 𝑎^𝑚×𝑎^𝑛=𝑎^(𝑚 + 𝑛) ) = 2^(−15 − 5) = 2^(−20) = 𝟏/𝟐^𝟐𝟎
Examples
Example 1 (ii) Important
Example 2 (i) Important
Example 2 (ii)
Example 3 Important
Example 4 (i) Important You are here
Example 4 (ii)
Example 4 (iii) Important
Example 4 (iv)
Example 5 Important
Example 6
Example 7 (i) Important
Example 7 (ii)
Example 8 (i) Important
Example 8 (ii)
Example 9 (i) Important
Example 9 (ii) Important
Example 9 (iii)
About the Author
Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo