Question

What is the smallest positive integer k such that k(3^3+4^3+5^3)=a^n for some positive integers a and n, with
n>1??​

Answer 1

Answer:

a/6

Step-by-step explanation:

k(27+64+125) =a^n

216k = a^n

(6)^3k = a^n. [as (6)^3 = 216]

by equating LHS and RHS of the equation

we get n=3

then 6k = a

k= a/6