Question

5. Check whether 6" can end with the digit 0 for any natural number n.​

Answer 1

Answer:

No, there is no value of n that will give unit digit of equal to zero.

Given:

To find:

Check whether    can end with the digit 0 for any natural number n

Solution :

To find whether the number   ends with a digit 0 for any natural number n we first find the factorization of the value  .

Now we know that the factors for

Putting    we get

Thereby putting values like positive natural numbers in n = 1, 2, 3….. n but to get a 0 at the end

MysticdMaths AryaBhatta

Answer:

There is no natural number n for which 6ⁿ ends with the digit zero.

Step-by-step explanation:

If 6ⁿ is to end with zero for a natural number n,

it should be divisible by 2 and 5.

This means that the prime factorisation of 6ⁿ should contain the prime number 5 and 2 .

But it is not possible because

6ⁿ = (2×3)ⁿ = 2ⁿ × 3ⁿ

Since , 5 is not present in the prime factorisation , there is no natural number n for which 6ⁿ ends with the digit zero

Answer 2

Hey here is rhe answer

Any positive integer ending with zero is divisible by 5 ...

The prim factorization of 6^n = (2×3)^n As 5 does not occur in the prime factorization of 6^n , for any natural number n, therefore 6^n can never end with digit zero for any n ...

Hope it helped you

please follow me and rate me as brainlist