find the unit digit of [216 raised to the power 1000 ][ 625 raised to the power 2000] [ 514 raised to the power 3000 ] ?
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216¹⁰⁰⁰
unit digit = 6
be it any power, the last digit (unit's place will always be 6)
625²⁰⁰⁰
unit digit = 5
be it any power, the last digit (unit's place will always be 5)
514³⁰⁰⁰
unit digit =6
when 4 get's squared or cubed or so it's last digits will either be 4 or 6. last digit of even number power will result in unit's digit to be 6 and vice versa i.e. odd number power will result in unit's digit to be 4. as 3k is an even numnber it's unit digit will be 6.
unit digit = 6
be it any power, the last digit (unit's place will always be 6)
625²⁰⁰⁰
unit digit = 5
be it any power, the last digit (unit's place will always be 5)
514³⁰⁰⁰
unit digit =6
when 4 get's squared or cubed or so it's last digits will either be 4 or 6. last digit of even number power will result in unit's digit to be 6 and vice versa i.e. odd number power will result in unit's digit to be 4. as 3k is an even numnber it's unit digit will be 6.
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