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Theory
Quizzes
Last Digit of Power 
1
That’s right!
2
That’s wrong! Hint: Turns out 121 ends with 1 – then digit in its units place has to be…
3
That’s wrong! Hint: Turns out 121 ends with 1 – then digit in its units place has to be…
7
That’s wrong! Hint: Turns out 121 ends with 1 – then digit in its units place has to be…
Last Digit of Power 
is
is1
That’s wrong! Hint: Exponent is 2017
Units digit of base is 7
Cyclicity of 7 is 4
Reminder when 2017 is divided by 4 is 1.. Thus…
Units digit of base is 7
Cyclicity of 7 is 4
Reminder when 2017 is divided by 4 is 1.. Thus…
3
That’s wrong! Hint: Exponent is 2017
Units digit of base is 7
Cyclicity of 7 is 4
Reminder when 2017 is divided by 4 is 1.. Thus…
Units digit of base is 7
Cyclicity of 7 is 4
Reminder when 2017 is divided by 4 is 1.. Thus…
7
That’s right!
9
That’s wrong! Hint: Exponent is 2017
Units digit of base is 7
Cyclicity of 7 is 4
Reminder when 2017 is divided by 4 is 1.. Thus…
Units digit of base is 7
Cyclicity of 7 is 4
Reminder when 2017 is divided by 4 is 1.. Thus…
Last Digit of Power 
is
is1
That’s right!
3
That’s wrong! Hint: Exponent is 110016
Units digit of base is 9
Cyclicity of 9 is 2
Reminder when 110016 is divided by 2 is 0
Thus…
Units digit of base is 9
Cyclicity of 9 is 2
Reminder when 110016 is divided by 2 is 0
Thus…
6
That’s wrong! Hint: Exponent is 110016
Units digit of base is 9
Cyclicity of 9 is 2
Reminder when 110016 is divided by 2 is 0
Thus…
Units digit of base is 9
Cyclicity of 9 is 2
Reminder when 110016 is divided by 2 is 0
Thus…
9
That’s wrong! Hint: Exponent is 110016
Units digit of base is 9
Cyclicity of 9 is 2
Reminder when 110016 is divided by 2 is 0
Thus…
Units digit of base is 9
Cyclicity of 9 is 2
Reminder when 110016 is divided by 2 is 0
Thus…
The digit at the unit’s place of 
is
is8
That’s wrong! Last digit of 
(Cyclicity 2) is 1.
Last digit of
(Cyclicity 1) is 1.
Thus the last digit is…
(Cyclicity 2) is 1.Last digit of
(Cyclicity 1) is 1.Thus the last digit is…
5
That’s wrong! Last digit of (Cyclicity 2) is 1.
Last digit of (Cyclicity 1) is 1.
Thus the last digit is…
(Cyclicity 2) is 1.Last digit of
(Cyclicity 1) is 1.Thus the last digit is…
2
That’s wrong! Last digit of (Cyclicity 2) is 1.
Last digit of (Cyclicity 1) is 1.
Thus the last digit is…
(Cyclicity 2) is 1.Last digit of
(Cyclicity 1) is 1.Thus the last digit is…
0
That’s right!
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