What will be the units place of 17^17

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22 Jun 2011 Unit place What will be the units place of 17^17: OPtion
1) 9
2) 8
3) 7
4) 6
5) 5
6) 4
7) 3
8) 2
9) 1
10) None of these; Correct Option: 3 Best Solution (5)

Navneet Madhukar 13 years AGO

17x17...upto 17 times will give 7 at unit's place.

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A J V 13 years AGO

7^1=7
7^2=9
7^3=3
7^4=1
so, 17%4 = 1.
i.e., 7^1=7.
so, opt 3 would be the correct one.

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Balakumaran N.A 13 years AGO

17^1= units digit 7;
17^2= units digit 9;
17^3= units digit 3;
17^4= units digit 1; 7,9,3,1,..like that its rotating as cycle...
so, for 17^17 = 7 is unit digit...

Like? Yes (2) | No (1)

SWARNIMA UMARI 13 years AGO

17^17= (17^4)^4*17
here unit digit in (17^4)^4=1
hence 1*17=17
hence unit digit is 7

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Atul 13 years AGO

units place of 17^0=1
units place of 17^1=7
units place of 17^2=9
units place of 17^3=3
units place of 17^4=1
units place of 17^(4n)=1
units place of 17^(4n+1)=7

so units place of 17^17 =7

Like? Yes (2) | No (1)

Dimple

India

Punjab

Time: 00:01:33

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What will be the units place of 17^17

M4maths Previous Puzzles

22 Jun 2011 Unit place