Answer:
x = -3
Step-by-step explanation:
One always uses inverse operations to solve an equation.
1/4x^3 = -27/4
x^3 = -27 . . . . . . . . . multiply by the inverse of 1/4
x = -3 . . . . . . . . . . raise each side to the inverse of the power of 3 (in English: take the cube root)
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Check
(1/4)(-3)^3 = 1/4(-27) = -27/4 . . . . as required