show whether 35^n ends with a zero or not, for any natural number n
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Answer:
No,35∧n does not ends with zero. Because the last digit is 5. if any number with last digit 5 it must be ends with 5 only.
Step-by-step explanation:
Answered by
12
The number 35^n where n is a natural number, can never end with zero.
We know, the unit digit of a product of a number m is equal to the product of the unit digit of m.
So, the unit digit of the product 35^n will be same as the unit digit of 5^n.
And, 5 raised to the power any natural number will end with 5 e.g. 25, 125, 625 etc.
Hence, it is clear that 35^n can never end with 0.
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