To solve the equation \(5x^{3} = -135\), you would first use the division operation by dividing by 5 to get the equation \(x^{3} = -27\). You would then use the inverse operation of \(x^{3}\), which is taking the cube root of both sides. That leaves us with one solution for \(x\). The solution(s): \(x = -3\).
So, filling in the response areas:
- Responce Area1: Invers
- Responce Area2: Division
- Responce Area3: Dividing by 5
- Responce Area4: Cube root
- Responce Area5: One
- Responce Area6: -3