What is the answer to x^{-3}=64 ?

The answer to x^{-3}=64 is x= 1/4 ,x=-1/8+(sqrt(3))/8 i,x=-1/8-(sqrt(3))/8 i

Solve for x: x^{-3}=64

The solution is x= 1/4 ,x=-1/8+(sqrt(3))/8 i,x=-1/8-(sqrt(3))/8 i

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x^{- 3} = 64

x = \frac{1}{4}, x = - \frac{1}{8} + \frac{3}{8} i, x = - \frac{1}{8} - \frac{3}{8} i

Solution steps

x^{- 3} = 64

Refine

\frac{1}{x ^{3}} = 64

Multiply both sides by

x^{3}

1 = 64 x^{3}

Solve

1 = 64 x^{3} : x = \frac{1}{4}, x = - \frac{1}{8} + \frac{3}{8} i, x = - \frac{1}{8} - \frac{3}{8} i

x = \frac{1}{4}, x = - \frac{1}{8} + \frac{3}{8} i, x = - \frac{1}{8} - \frac{3}{8} i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{4}, x = - \frac{1}{8} + \frac{3}{8} i, x = - \frac{1}{8} - \frac{3}{8} i

\frac{2 x ^{2} + 9 x - 5}{x ^{4} + 1} = 0

\frac{- 5}{x - 5} + \frac{2}{x + 9} = 1

\frac{10}{2} = \frac{100}{r}

\frac{5 x}{x + 1} = 2 - \frac{5}{x + 1}

\frac{x + 3}{x - 7} = \frac{- 2}{x}

What is the answer to x^{-3}=64 ?
The answer to x^{-3}=64 is x= 1/4 ,x=-1/8+(sqrt(3))/8 i,x=-1/8-(sqrt(3))/8 i
Solve for x: x^{-3}=64
The solution is x= 1/4 ,x=-1/8+(sqrt(3))/8 i,x=-1/8-(sqrt(3))/8 i