Question

Prove that 18^n, n € N can never end with the digit zero

Answer 1

HEYA ❤️

LET 18ⁿ IS ENDS WITH DIGIT ZERO, WHERE n€N.

THEREFORE, 18ⁿ MUST BE IN THE FACTOR OF 10 I.E (2×5). BUT IT IS QUITE SURE THAT FACTORS OF 18 DOES NOT CONTAIN 5.

18=2×3×3

HENCE, 5 IS MISSING HERE.

THEREFORE 18ⁿ IS NOT END WITH DIGIT ZERO, WHERE n€N.

SO, OUR SUPPOSITION IS WRONG.