John Y.

asked • 08/22/17

what is the last digit of 7^1000

what is the last digit

1 Expert Answer

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Kendra F. answered • 08/22/17

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71, 72, 73, 74 , 75 , 76 , 77, 78 ...
7, 49, 343, 2401, 16807, 117649, 823543, 5764801 ...
 
See the repeating pattern of the ones digit. 7,9,3,1
1000 numbers /4 repeating ones digits = 250 (a whole number for a complete repeat)
The ones digit for 71000 will be a 1.
 
 
 
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