Question

check weather for 4n where n is a natural number, ends with the digit 0​

Answer 1

Answer:

Here is ur solution

Step-by-step explanation:

4n=2raise to 2n

So n ends with unit digit 0 only when it factor of 2 and 5

Here it is factor 2 not 5

So it not end with digit 0

Hope it help

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Answer 2

Step-by-step explanation:

→ No, 4ⁿ can never end with the digit 0 for any natural number n .

→ If 4ⁿ ends with 0 then it must have 5 as a factor .

But, 4ⁿ = ( 2² )ⁿ = 2²ⁿ .

→ It shows that 2 is the only prime factor of 4ⁿ .

Also, we know from the fundamental theorem of airthematic that the prime factorisation of each number is unique .

So, 5 is not a factor of 4ⁿ .

Hence, 4ⁿ can never end with the digit 0 .