Ex 1.6, 3 - Simplify (i) 2(2/3) . 2 (1/5) (ii) (1/33) 7 - Ex 1.6

  1. Chapter 1 Class 9 Number Systems
  2. Serial order wise
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Ex1.6, 3 Simplify (i) 2^(2/3) . 2^(1/5) 2^(2/3) . 2^(1/5) = 2^(2/3) × 2^(1/5) = 2^((2/3 + 1/5) ) = 2^(((2 × 5 + 1 × 3)/(3 × 5))) = 2^(((10 + 3)/15) ) = 2^(13/15) Ex1.6, 3 Simplify (ii)  (1/33)^7 (1/33)^7 = 〖 (3^(−3))〗^7 = 3^(−3 × 7) = 3-21 Ex1.6, 3 Simplify (iii)  〖11〗^(1/2)/〖11〗^(1/4) 〖11〗^(1/2)/〖11〗^(1/4) = 〖11〗^((1/2 − 1/4) ) = 〖11〗^(((1 × 4 −1 × 2)/(2 × 4)) ) = 〖11〗^(((4 − 2)/8) ) = 〖11〗^((2/8) ) = 〖11〗^(1/4 ) Ex1.6, 3 Simplify (iv)  7^(1/2) . 8^(1/2) 7^(1/2) . 8^(1/2) = 〖(7×8)〗^(1/2) = 〖56〗^(1/2)

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