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Question
Say true or false and justify your answer:
10 × 1011 = 10011
Options
True
False
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Solution
This statement is False.
Explanation:
10 × 1011 = 10011
L.H.S. = 10 × 1011
= `10^(11 + 1)` ...(∵ am × an = am + n)
= 1012
R.H.S. = 10011
= (10 × 10)11
= (102)11
= `10^(2 × 11)`
= 1022 ...(∵ (am)n = amn)
As L.H.S. ≠ R.H.S.
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