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 multiply both sides by -1 to eliminate the negative sign:

\[ x^{3/2} = 27. \]

Next, to isolate \(x\), we can raise both sides to the power of \(\frac{2}{3}\):

\[ x = 27^{2/3}. \]

To calculate \(27^{2/3}\), we first find \(27^{1/3}\):

\[ 27^{1/3} = 3, \]

then square it:

\[ 27^{2/3} = 3^2 = 9. \]

Thus, the solution to the equation is:

\[ x = 9. \]

So the correct answer is:

**9**.