Select the correct answer to the following equation: −x exponent3/2=−27

To solve the equation \(-x^{3/2} = -27\), we can start by eliminating the negative sign from both sides:

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

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

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

Calculate \(27^{\frac{1}{3}}\) first, which is \(3\), since \(3^3 = 27\). Then we square it:

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

Thus, we find:

\[
x = 9
\]

So the correct answer is:

**9**