Question

Question The smaller of 99100 + 100100 and 101100, is

JEE/Engineering Exams

Maths

Solution

189

4.0 (1 ratings)

( 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 )