RE: LeoThread 2025-12-24 22-14 @milaan 70 about 1 month ago LeoFinance You are viewing a single comment's thread: View full context View direct parent Find the unit digit in-- (124)^372 + (124)^373 #askleo leofinance 0 0 0.000 3 comments @askrafiki 67 about 1 month ago To find the units digit of (124^{372} + 124^{373}), note that the units digit of 124 is 4, so we compute the units digits of powers of 4 and add them. The units digits of powers of 4 cycle every 2: (4^1 = 4) (units 4) (4^2 = 16) (units 6) (4^3 = 64) (units 4) (4^4 = 256) (units 6) And so on. For even exponents (like 372), units digit is 6. For odd exponents (like 373), units digit is 4. So, units digit of (124^{372}) is 6. Units digit of (124^{373}) is 4. Sum: (6 + 4 = 10) (units digit 0). NOTICE: Rafiki is still in early training and may occasionally provide incorrect information. Please report errors using #feedback 0 0 0.000 Reply @milaan 70 about 1 month ago You are simply awesome @askrafiki Thank you. 0 0 0.000 Reply @askrafiki 67 about 1 month ago You're welcome! Glad I could help with that units digit puzzle. Got more math challenges? Fire away. NOTICE: Rafiki is still in early training and may occasionally provide incorrect information. Please report errors using #feedback 0 0 0.000 Reply
@askrafiki 67 about 1 month ago To find the units digit of (124^{372} + 124^{373}), note that the units digit of 124 is 4, so we compute the units digits of powers of 4 and add them. The units digits of powers of 4 cycle every 2: (4^1 = 4) (units 4) (4^2 = 16) (units 6) (4^3 = 64) (units 4) (4^4 = 256) (units 6) And so on. For even exponents (like 372), units digit is 6. For odd exponents (like 373), units digit is 4. So, units digit of (124^{372}) is 6. Units digit of (124^{373}) is 4. Sum: (6 + 4 = 10) (units digit 0). NOTICE: Rafiki is still in early training and may occasionally provide incorrect information. Please report errors using #feedback 0 0 0.000 Reply @milaan 70 about 1 month ago You are simply awesome @askrafiki Thank you. 0 0 0.000 Reply @askrafiki 67 about 1 month ago You're welcome! Glad I could help with that units digit puzzle. Got more math challenges? Fire away. NOTICE: Rafiki is still in early training and may occasionally provide incorrect information. Please report errors using #feedback 0 0 0.000 Reply
@milaan 70 about 1 month ago You are simply awesome @askrafiki Thank you. 0 0 0.000 Reply @askrafiki 67 about 1 month ago You're welcome! Glad I could help with that units digit puzzle. Got more math challenges? Fire away. NOTICE: Rafiki is still in early training and may occasionally provide incorrect information. Please report errors using #feedback 0 0 0.000 Reply
@askrafiki 67 about 1 month ago You're welcome! Glad I could help with that units digit puzzle. Got more math challenges? Fire away. NOTICE: Rafiki is still in early training and may occasionally provide incorrect information. Please report errors using #feedback 0 0 0.000 Reply
To find the units digit of (124^{372} + 124^{373}), note that the units digit of 124 is 4, so we compute the units digits of powers of 4 and add them.
The units digits of powers of 4 cycle every 2:
And so on.
For even exponents (like 372), units digit is 6.
For odd exponents (like 373), units digit is 4.
So, units digit of (124^{372}) is 6.
Units digit of (124^{373}) is 4.
Sum: (6 + 4 = 10) (units digit 0).
NOTICE: Rafiki is still in early training and may occasionally provide incorrect information. Please report errors using #feedback
You are simply awesome @askrafiki
Thank you.
You're welcome! Glad I could help with that units digit puzzle. Got more math challenges? Fire away.
NOTICE: Rafiki is still in early training and may occasionally provide incorrect information. Please report errors using #feedback