To find which mathematical expression is equivalent to “one
divided by the sixth root of x” Given that x ≠ 0
One divided by the sixth root of x can be written mathematically as 1 / (6√x)
6√x is mathematically same as x^1/6
Therefore, 1 / (6√x) = 1/ x^(1/6)
Mathematically, 1/x^y = x^(-y)
Therefore, 1/ x^(1/6) = x^(-1/6)
Therefore, the mathematical expression which is equivalent to “one divided by the sixth root of x” is x^(-1/6)