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Example 4 Expand a3 b2, a2 b3, b2 a3, b3 a2. Are they all same? a3 b2 = a3 × b2 = a × a × a × b × b a2 b3 = a2 × b3 = a × a × b × b b2 a3 = b2 × a3 = b × b × a × a × a = a × a × a × b × b b3 a2 = b3 × a2 = b × b × b × a × a = a × a × b × b × b Now, a3 b2 & b2 a3 (= a3 b2) are the same As they have same power of a & b Similarly, a2 b3 & b3 a2 (= a2 b3) are the same As they have same powers of a and b But all of them are not equal

  1. Chapter 11 Class 7 Exponents and Powers
  2. Serial order wise

About the Author

Davneet Singh

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