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| 1. |
Show that 6^n-5^n always end with digit 1. |
| Answer» 6^n, where n is any positive integer, always ends with 6. Eg :- 6^2 = 36, 6^3 = 216, etc. Whereas, 5^n , for any value of n, always ends in 5. Eg :- 5^2 = 25, 5^4 = 625, etc. Therefore, since 6 - 5 is always equal to one, the no 6^n - 5^n always ends with one. | |