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To solve the equation \(-x^{3/2} = -27\), we can start by eliminating the negative sign from both sides:
\[
x^{3/2} = 27
\]
Next, we can raise both sides to the power of \(\frac{2}{3}\) to isolate \(x\):
\[
x = 27^{\frac{2}{3}}
\]
Calculate \(27^{\frac{1}{3}}\) first, which is \(3\), since \(3^3 = 27\). Then we square it:
\[
27^{\frac{2}{3}} = (27^{\frac{1}{3}})^2 = 3^2 = 9
\]
Thus, we find:
\[
x = 9
\]
So the correct answer is:
**9**