Math, asked by KRISHNANGUPTA, 1 year ago

can the number 5^n ,n being a natural number, ends with the digit 0?give reason

Answers

Answered by Jay1234
1
nope,
this is because to end a no. with zero..the factors 2 and 5 both are needed but here only 5 is there..so its not possible....it will ALWAYS end with 5 only
cheers!

agclasher: see
agclasher: 5 raise to power 0
agclasher: Is 0
Jay1234: 2 raised to power 1 is zero? lol
Jay1234: you have written 2 raised to power 0 is 1
Jay1234: which is correct but above it
Jay1234: If any number ends with the digit 0, it should be divisible by 10 or in other words, it will also be divisible by 2 and 5 as 10 = 2 × 5
It can be observed that 2 is not in the prime factorisation of 5n.
Hence, for any value of n, 5n will not be divisible by 2.
Therefore, 5n cannot end with the digit 0 for any natural number n.
Jay1234: eat this dude
hardikraj57: 5^0=1
hardikraj57: Infact n^0=1
Answered by agclasher
1
Thus so

_______________________________________________________________


The number 5^n can end with digit 0


. =====. yes


. as the number 5 can be written in the form

=======. 5 ^ m * 2 ^ 0

. where 2 ^ 0 is 1

=======. The number which can be written with 2
5. As the factors it end s with digit 0 .



. Hope it helps



. all the best for exam.





hardikraj57: No it's wrong
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