What is the answer to x^{-3}= 1/64 ?

The answer to x^{-3}= 1/64 is x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i

Solve for x: x^{-3}= 1/64

The solution is x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i

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

x = 4, x = - 2 + 23 i, x = - 2 - 23 i

Solution steps

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

Refine

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

Cross multiply

64 = x^{3}

Solve

64 = x^{3} : x = 4, x = - 2 + 23 i, x = - 2 - 23 i

x = 4, x = - 2 + 23 i, x = - 2 - 23 i

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 4, x = - 2 + 23 i, x = - 2 - 23 i

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

\frac{6}{x} = lo g_{0.5} (0.4)

y, x = \frac{1}{1 + y ^{2}}

\frac{4}{3 x + 1} = \frac{x}{2 x + 10}

\frac{1}{x ^{4}} = x^{- 4}

What is the answer to x^{-3}= 1/64 ?
The answer to x^{-3}= 1/64 is x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i
Solve for x: x^{-3}= 1/64
The solution is x=4,x=-2+2sqrt(3)i,x=-2-2sqrt(3)i