Show that any number of the form (6)x, x€N can never end with the di

1.	Show that any number of the form (6)x, x€N can never end with the digit 0
Answer» {tex}6 ^ { n } = ( 2 \\times 3 ) ^ { n } = 2 ^ { n } \\times 3 ^ { n }{/tex}{tex}\\therefore \\quad 5 \\text { is not a factor of } 6 ^ { n }{/tex}{tex}\\therefore {/tex}\xa0It never ends with 0.

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