ANSWER IT FAST FOR BRAINLIEST FOR SURE ONLY FOR CORRECT ANSWERS NO WRONG ANSWERS PLSSSS.
Check whether 4n can be end with digit zero where 'n' is natural number
Share
ANSWER IT FAST FOR BRAINLIEST FOR SURE ONLY FOR CORRECT ANSWERS NO WRONG ANSWERS PLSSSS.
Check whether 4n can be end with digit zero where 'n' is natural number
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
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 .