Question

Units digit in ( left(7^{4}right)=1 . ) Therefore, units digit in ( left(7^{4}right)^{8} )
i.e., ( 7^{32} ) will be 1. Hence, units digit in
[
(7)^{35}=1 times 7 times 7 times 7=3
]
Again, units digit in ( (3)^{4}=1 )
Therefore, units digit in the expansion of
[
left(3^{4}right)^{17}=(3)^{68}=1
]
( Rightarrow ) Units digit in the expansion of
[
left(3^{71}right)=1 times 3 times 3 times 3=7
]
and units digit in the expanison of ( left(11^{35}right)=1 )
Hence, units digit in the expansion of
[
7^{35} times 3^{71} times 11^{55}=3 times 7 times 1=1
]

# Find the unit's digit in the product 735x371x1155.

Solution