What is the answer to 8=a^{-3} ?

The answer to 8=a^{-3} is a= 1/2 ,a=-1/4+(sqrt(3))/4 i,a=-1/4-(sqrt(3))/4 i

Solve for a: 8=a^{-3}

The solution is a= 1/2 ,a=-1/4+(sqrt(3))/4 i,a=-1/4-(sqrt(3))/4 i

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8 = a^{- 3}

a = \frac{1}{2}, a = - \frac{1}{4} + \frac{3}{4} i, a = - \frac{1}{4} - \frac{3}{4} i

Solution steps

8 = a^{- 3}

Refine

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

Multiply both sides by

a^{3}

8 a^{3} = 1

Solve

8 a^{3} = 1 : a = \frac{1}{2}, a = - \frac{1}{4} + \frac{3}{4} i, a = - \frac{1}{4} - \frac{3}{4} i

a = \frac{1}{2}, a = - \frac{1}{4} + \frac{3}{4} i, a = - \frac{1}{4} - \frac{3}{4} i

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = \frac{1}{2}, a = - \frac{1}{4} + \frac{3}{4} i, a = - \frac{1}{4} - \frac{3}{4} i

x^{- 4} = \frac{1}{16}

\frac{3 ( x - 1 )}{2 x + 1} = - 2

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

2 b + 2 (\frac{24}{b}) = 52

\frac{x ^{2} + 1}{3 x - 2 x ^{2}} = 0

What is the answer to 8=a^{-3} ?
The answer to 8=a^{-3} is a= 1/2 ,a=-1/4+(sqrt(3))/4 i,a=-1/4-(sqrt(3))/4 i
Solve for a: 8=a^{-3}
The solution is a= 1/2 ,a=-1/4+(sqrt(3))/4 i,a=-1/4-(sqrt(3))/4 i