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To solve the equation \( -x^{3/2} = -27 \), we can simplify it as follows:
1. Multiply both sides by -1:
\[
x^{3/2} = 27
\]
2. To eliminate the exponent, raise both sides to the power of \( \frac{2}{3} \):
\[
x = 27^{2/3}
\]
3. Calculate \( 27^{2/3} \):
- First, find \( 27^{1/3} \), which is \( 3 \) (since \( 3^3 = 27 \)).
- Then square it:
\[
3^2 = 9
\]
So, \( x = 9 \).
Therefore, the correct answer is:
**9**.