Question

( 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 )

# Question The smaller of 99100 + 100100 and 101100, is

Solution