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To solve the equation \( -x^{3/2} = -27 \), we can first eliminate the negative sign on both sides:
\[
x^{3/2} = 27
\]
Next, to solve for \( x \), we can raise both sides to the power of \(\frac{2}{3}\):
\[
x = 27^{\frac{2}{3}}
\]
Calculating \( 27^{\frac{2}{3}} \):
1. Calculate \( 27^{1/3} \), which is the cube root of 27. The cube root of 27 is 3.
2. Then, raise that result to the power of 2: \( 3^2 = 9 \).
So,
\[
x = 9
\]
Therefore, the correct answer is:
**9**