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

To solve the equation \( -x^{3/2} = -27 \), we can first eliminate the negative signs from both sides:

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

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

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

Calculating \( 27^{\frac{1}{3}} \) gives us 3 (since \( 3^3 = 27 \)). Therefore,

\[ 27^{\frac{2}{3}} = (27^{\frac{1}{3}})^2 = 3^2 = 9 \]

So, the solution is:

\[ x = 9 \]

The correct answer is:

**9**