Check whether 6ⁿ,7ⁿ,4ⁿ can end wíth the dígít 0 for any natural number n.
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Step-by-step explanation:
if a no. is divisible by zero it should be divisible by 10.And if it is divisible by 10 it should be divisible by 2&5 as 10=2×5.
now 6n =(2×3)²
it can be seen that 5 does not appear in the prime factorisation of 6n
hence,for any value of n,6n can't be divisible by 10.
therefore,6n can't be end with zero.
Answered by
1
Answer:
if a no. is divisible by zero it should be divisible by 10.And if it is divisible by 10 it should be divisible by 2&5 as 10=2×5.
now 6n =(2x3)²
it can be seen that 5 does not appear in the prime factorisation of 6n
hence,for any value of n,6n can't be divisible by 10.
therefore,6n can't be end with zero.
Step-by-step explanation:
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