show that 8^n cannot end with the digit zero for any natural number
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your answer your looking for is given below
Step-by-step explanation:
We know 8n = (23)n = 23n
If 8n end with zero then 10 is factor of 8n.
8n = 23n = (5)(2)
5 is factor of 2, which is a contradiction
So, our assumption is wrong. Hence 8n cannot end with zero.
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