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To solve the equation \( -x^{3/2} = -27 \), we can first remove the negative signs from both sides:
\[
x^{3/2} = 27
\]
Next, we will raise both sides to the power of \( \frac{2}{3} \) to solve for \( x \):
\[
x = 27^{\frac{2}{3}}
\]
We can simplify \( 27^{\frac{2}{3}} \). First, we find the cube root of 27:
\[
27^{\frac{1}{3}} = 3
\]
Now we square this result:
\[
(27^{\frac{1}{3}})^2 = 3^2 = 9
\]
So, \( x = 9 \).
Thus, the correct answer is:
**9**