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) About Me  (Show Source):
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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