Question The smaller of 99100 + 100...
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Question The smaller of 99100 + 100100 and 101100, is

JEE/Engineering Exams
Maths
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( 101^{wedge} 100 ) ( =(100+1)^{wedge} 100 ) Expanding ( =100^{wedge} 100+100^{*} 100^{wedge} 99^{*} 1^{wedge} 1+ldots . .+1^{wedge} 100 ) Which is greater than, ( 100^{wedge} 100+99^{wedge} 100 ) So ( left(99^{wedge} 100+100^{wedge} 100right) ) is smaller than ( 101^{wedge} 100 )
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