Solve the following equation. \[ -27 x^{-3 / 4}=-64 \] Select the correct response below and if there is more than one solution enter them in any order. Round to three dec places. $x_{1}=$ or $x_{2}=$ $x_{1}=$ There is no solution.

Step 1 ：The given equation is \(-27 x^{-3 / 4}=-64\).

Step 2 ：Divide both sides by \(-27\) to isolate \(x^{-3 / 4}\) on one side, we get \(x^{-3 / 4} = \frac{-64}{-27} = 2.37\).

Step 3 ：Raise both sides to the power of \(-4/3\) to solve for \(x\), we get \(x = (2.37)^{-4/3} = 0.316\).

Step 4 ：The solution to the equation is \(x = \boxed{0.316}\).