What is the answer to (-3/x)^{-3}=-8 ?

The answer to (-3/x)^{-3}=-8 is x=6,x=-3+3sqrt(3)i,x=-3-3sqrt(3)i

Solve for x: (-3/x)^{-3}=-8

The solution is x=6,x=-3+3sqrt(3)i,x=-3-3sqrt(3)i

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(- \frac{3}{x})^{- 3} = - 8

x = 6, x = - 3 + 33 i, x = - 3 - 33 i

Solution steps

(- \frac{3}{x})^{- 3} = - 8

Refine

- \frac{x ^{3}}{27} = - 8

Multiply both sides by

27

- x^{3} = - 216

Solve

- x^{3} = - 216 : x = 6, x = - 3 + 33 i, x = - 3 - 33 i

x = 6, x = - 3 + 33 i, x = - 3 - 33 i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 6, x = - 3 + 33 i, x = - 3 - 33 i

\frac{- 5 + 4}{x + 1} = - \frac{1}{4}

u, s = - \frac{1}{u} t r

\frac{3 ^{2} - x}{27 - x} = 0

\frac{1}{2 y} = 4

x + \frac{2}{x} = 6

What is the answer to (-3/x)^{-3}=-8 ?
The answer to (-3/x)^{-3}=-8 is x=6,x=-3+3sqrt(3)i,x=-3-3sqrt(3)i
Solve for x: (-3/x)^{-3}=-8
The solution is x=6,x=-3+3sqrt(3)i,x=-3-3sqrt(3)i