Example 4 (i) - Chapter 10 Class 8 Exponents and Powers

Last updated at April 16, 2024 by

Example 4 - Simplify and write in exponential form (i) (2^5 ÷ 2^8)^5

Example 4 - Chapter 12 Class 8 Exponents and Powers - Part 2

 

 

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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

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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