Select the correct answer to the following equation: −x^3/2=−27

To solve the equation \(-x^{3/2} = -27\), we first multiply both sides by -1 to simplify it:

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

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

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

Calculating \(27^{2/3}\):

1. \(27 = 3^3\), so:
\[ 27^{2/3} = (3^3)^{2/3} \]
\[ = 3^{3 \cdot (2/3)} = 3^2 = 9 \]

Therefore, the solution is:

\[ x = 9 \]

Thus, the correct answer is:

**9**