Select the correct answer to the following equation: −x 3/2 = −27.(1 point)

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**