What is the answer to x^{-3}= 1/27 ?

The answer to x^{-3}= 1/27 is x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i

Solve for x: x^{-3}= 1/27

The solution is x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i

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x^{- 3} = \frac{1}{27}

x = 3, x = - \frac{3}{2} + \frac{3 3}{2} i, x = - \frac{3}{2} - \frac{3 3}{2} i

Solution steps

x^{- 3} = \frac{1}{27}

Refine

\frac{1}{x ^{3}} = \frac{1}{27}

Cross multiply

27 = x^{3}

Solve

27 = x^{3} : x = 3, x = - \frac{3}{2} + \frac{3 3}{2} i, x = - \frac{3}{2} - \frac{3 3}{2} i

x = 3, x = - \frac{3}{2} + \frac{3 3}{2} i, x = - \frac{3}{2} - \frac{3 3}{2} i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 3, x = - \frac{3}{2} + \frac{3 3}{2} i, x = - \frac{3}{2} - \frac{3 3}{2} i

1 + \frac{1}{x} = x

7 - \frac{2}{x - 4} = 5

3 + \frac{x - 2}{x - 4} = 2

\frac{x}{x - 3} + 2 = \frac{3}{x - 3}

\frac{x - 7}{x - 9} = \frac{2}{x - 9}

What is the answer to x^{-3}= 1/27 ?
The answer to x^{-3}= 1/27 is x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i
Solve for x: x^{-3}= 1/27
The solution is x=3,x=-3/2+(3sqrt(3))/2 i,x=-3/2-(3sqrt(3))/2 i