What is the answer to x^{-3}= 1/8 ?

The answer to x^{-3}= 1/8 is x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i

Solve for x: x^{-3}= 1/8

The solution is x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i

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x^{- 3} = \frac{1}{8}

x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Solution steps

x^{- 3} = \frac{1}{8}

Refine

\frac{1}{x ^{3}} = \frac{1}{8}

Cross multiply

8 = x^{3}

Solve

8 = x^{3} : x = 2, x = - 1 + 3 i, x = - 1 - 3 i

x = 2, x = - 1 + 3 i, x = - 1 - 3 i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 2, x = - 1 + 3 i, x = - 1 - 3 i

\frac{3}{a + 3} - \frac{1}{a - 2} = 5

7 x^{- 2} - 23 x^{- 1} + 6 = 0

\frac{4 x}{x + 2} = 7 - \frac{8}{x + 2}

\frac{x - 8}{x - 2} = \frac{- 5}{x}

7 + (\frac{1}{x} - 2) = 28

What is the answer to x^{-3}= 1/8 ?
The answer to x^{-3}= 1/8 is x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i
Solve for x: x^{-3}= 1/8
The solution is x=2,x=-1+sqrt(3)i,x=-1-sqrt(3)i