To solve the equation \(-x^{3/2} = -27\), we can first multiply both sides by -1 to eliminate the negative sign:
\[ x^{3/2} = 27. \]
Next, to isolate \(x\), we can raise both sides to the power of \(\frac{2}{3}\):
\[ x = 27^{2/3}. \]
To calculate \(27^{2/3}\), we first find \(27^{1/3}\):
\[ 27^{1/3} = 3, \]
then square it:
\[ 27^{2/3} = 3^2 = 9. \]
Thus, the solution to the equation is:
\[ x = 9. \]
So the correct answer is:
9.