How to prove 6 power n is not contain a term end with 5?
Answers
Answered by
2
let6^1=6
6^2=36
6^3=216so simalarly all power of end with 6 bcz 6.6 always ends with 6 so we conclude that 6^n doesnt end with 5
6^2=36
6^3=216so simalarly all power of end with 6 bcz 6.6 always ends with 6 so we conclude that 6^n doesnt end with 5
Answered by
0
If 6^n ends in a value which has 5 at it's units place it must be a multiple of 5.
But Prime factorization of 6^n=2^n×3^n.Since there is no 5 in the prime factorization therefore 6^n is not divisible by 5 and hence can't end in 5.
But Prime factorization of 6^n=2^n×3^n.Since there is no 5 in the prime factorization therefore 6^n is not divisible by 5 and hence can't end in 5.
Similar questions