SOLUTION: How many integers from 1 to 10 ( including one in 10 ) could yield a ones digit of seven when raise to a natural number?
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Question 1047265: How many integers from 1 to 10 ( including one in 10 ) could yield a ones digit of seven when raise to a natural number?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Any number with a units digit of 7 is an odd number.
1 raised to any power is 1; eliminate 1
2 raised to any power is even; eliminate 2
; include 3
4 is 
, so 4 raised to any power is even; eliminate 4
The units digit of 
is 5; eliminate 5
, so 6 raised to any power is even; eliminate 6
; include 7
, so 8 raised to any power is even; eliminate 8
; include 9
The units digit of 
is 0; eliminate 10.
In summary: 3, 7, and 9
John
My calculator said it, I believe it, that settles it
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