6x^-54≤0

To solve the inequality 6x^(-54) ≤ 0, we will use the properties of inequality and exponents.

First, we need to understand the behavior of the expression x^(-54) as x changes. When a positive number is raised to a negative exponent, the result is always a positive fraction. Therefore, x^(-54) is always positive, except when x is equal to 0.

Since x^(-54) is always positive except when x = 0, the inequality 6x^(-54) ≤ 0 holds only when x = 0.

In conclusion, the solution to the inequality 6x^(-54) ≤ 0 is x = 0.