Question

Use the rules of equations and inverse operations to solve the equation.


-x^3 = 216
±6

-6^3 square root 6
-6

Answer 1

To solve the equation \(-x^3 = 216\), follow these steps:

1. **Isolate \(x^3\)**:
\[
x^3 = -216
\]

2. **Take the cube root of both sides**:
\[
x = \sqrt[3]{-216}
\]

3. **Calculate the cube root**:
The cube root of \(-216\) is \(-6\), because \((-6)^3 = -216\).

Thus, the solution is:
\[
x = -6
\]

So the answer is \(x = -6\).

The notation "±6" isn't applicable here since a cube root can be negative, but it doesn't indicate two potential solutions as with square roots.