Select the correct answer to the following equation: −x3/2=−27

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

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

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

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

Now, we can simplify \(27^{2/3}\). The cube root of 27 is 3 (since \(3^3 = 27\)), and then we square it:

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

So the solution to the equation is:

\[
\boxed{9}
\]