1. First, divide both sides of the equation by 4.
1÷4 x³/4 = –27/4/4
2. Next, on the left side of the equation, use inverse operations to get rid of the division. This will give us x³ = –27.
3. Then, to solve for x, take the cube root of both sides of the equation.
Cube root of x³ = cube root of –27
4. To check your answer, plug in -3 for x in the original equation and solve.
1÷4 x³ = –27/4
1÷4 (-3)³ = –27/4
1÷4 (-27) = –27/4
1 = 1
Since 1 = 1, the answer checks out.
Therefore, the solution to the equation is x = -3.