Unit's Digit of Large Numbers (Concept and Practice Questions for ALL EXAMS)

Finding the Unit's place Digit of a given Exponential is a popular question type in all Competitive Exams. This video discusses the tips and tricks for solving all questions related to Unit's Digit.
The following practice questions have been discussed to build the concept fundamentals and give students ample practice to ace the topic:
Question. Find the remainder when 47^3 is divided by 10?
Question. Find the unit’s digit of:
71"×" 72"×" 73"×" 74"×" 75"×" 76"×" 77"×" 78"×" 79
Question. If you add up the first 55 whole numbers, what will be the unit’s digit of the Sum?
Question. Find the unit’s digit of: 21^201-35^305 + 46^406
Question. Find the unit’s digit of the following Exponents:
Unit’s Digit of 74^1536=
Unit’s Digit of 139^237= ?
Unit’s Digit of 52^43= ?
Unit’s Digit of 192^284= ?
Unit’s Digit of 2022^2021= ?
Unit’s Digit of 3^100= ?
Unit’s Digit of 263^262= ?
Unit’s Digit of 3^75-3^57= ?
Unit’s Digit of 37^40= ?
Unit’s Digit of 387^387= ?
Unit’s Digit of 57^75+37^73= ?
Unit’s Digit of 18^18= ?
Unit’s Digit of 488^273= ?
Unit’s Digit of 8^(8^8 )
Question. If X = 527^725+984^367 - 283^823
Find the unit’s digit of X
(1) 7 (2) 3 (3) 4 (4) 6
Question. Find the unit’s digit of 34^10!× 33^9!× 32^8!
(1) 8 (2) 4 (3) 2 (4) 6
Question. Find the last non-zero digit of 70^2021
(1) 7 (2) 3 (3) 9 (4) 1
Question. Find the digit in the thousand’s position of:
5^3× 2^2021
(1) 8 (2) 4 (3) 2 (4) 6
Question. Find the unit’s digit of: 〖"(" 123^123)〗^41
(1) 7 (2) 3 (3) 9 (4) 1
Question. Find the unit’s digit of:〖 28〗^(29^30 )
(1) 8 (2) 4 (3) 2 (4) 6