Ex 11.2, 3 - Say true or false & justify answer: 10 × 10^11 = 100^11 - Ex 11.2

 

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Ex 11.2, 3 Say true or false and justify your answer: (i) 10 × 1011 = 10011 Solving LHS 10 × 1011 = 101 × 1011 = 101 + 11 = 1012 Using am × an = am + n = 101 + 11 = 1012 Solving RHS 10011 = (10 × 10)11 = (102)11 Using (am)n = am × n = 102 × 11 = 1022 ∴ L.H.S ≠ R.H.S Hence, given statement is false

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