Question

Collector to the following equation -x 3/2= -27
-9
-3
9
Bo solution

Answer 1

To solve the equation \(-x^{3/2} = -27\), we can follow these steps:

1. Multiply both sides by -1 to eliminate the negative sign:
\[
x^{3/2} = 27
\]

2. Raise both sides to the power of \(\frac{2}{3}\) to solve for \(x\):
\[
x = 27^{2/3}
\]

3. Compute \(27^{2/3}\):
- First, calculate \(27^{1/3}\):
\[
27^{1/3} = 3 \quad \text{(because \(3^3 = 27\))}
\]
- Next, raise that result to the power of 2:
\[
3^2 = 9
\]

Thus, we find that:
\[
x = 9
\]

Therefore, the solution to the equation \(-x^{3/2} = -27\) is \(x = 9\).