Math, asked by barellmirror, 1 year ago

Check whether 4n can be end with digit zero where 'n' is natural number

Answers

Answered by cherryqueen

as simple as a cup of coffee.. if any doubts dm.. :-)

hope it helps!!

Attachments:

barellmirror: what five power zero is one

barellmirror: hlo dont take it wrongly if u dont know the answer just tell no

cherryqueen: no its 0 as 5×0 is 0

barellmirror: no ur confusing me

cherryqueen: hey this ans is correct as I have in tb

cherryqueen: I just sent u what my teacher teached me

cherryqueen: it is not possible because 4 is not divisible by 5

cherryqueen: now is it ok? I sent solution again

barellmirror: i know this answer even my teacher thought me i just want to ask this doubt that why i posted this question not for seeking answers

cherryqueen: kk calm down.. I hope u understood by that pic

Answered by oOBADGIRLOo

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 .

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