Math, asked by henakousaransari1729, 11 months ago

Show that 15" cannot end with digits 0, 2, 4, 6 or 8 for any natural number n.​

Answers

Answered by shambhavi12102005121
3

Answer:

The prime factorization of 15 is 3×5. By observation, (3×5) ^n is divisible by 5 but not by 2. Hence, 15 ^n is not divisible by 10. Hence, 15 ^n does not end with digit 0 for any natural number n.

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