Latest self Aptitude Question SOLUTION: The number in the unit's place when 17 is raised to the power of 173 is?

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(#M40008750) SELF question Keep an EYE

The number in the unit's place when 17 is raised to the power of 173 is?

Vignesh (13 years ago)

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Balakrishnan M  (13 years ago)

(17)^4=83521 ==> unit place comes in 1.
173=4*43+1
(17)^173=(17)^(172+1)
(17)^173=(17)^172 * (17)^1
=(17)^(4*43) * (17)^1
=(17^4)^43 * (17)^1
=(Unit place 1)^43 * (Unit place 7)
=(Unit place 1)*(Unit place 7)
= 1*7 = 7
The number in the unit's place when 17 is raised to the power of 173 is 7

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