Question

Consider the number 6ⁿ where n is a natural number. Check whether there is any value of n ∈ N for which 6ⁿ is divisible by 7.

Answer 1

Since, 6 = 2 x 3; 6ⁿ = 2ⁿ x 3ⁿ

⇒ The prime factorisation of given number 6ⁿ

⇒ 6ⁿ is not divisible by 7.