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

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

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

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

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y^{- 3} = 64

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

Solution steps

y^{- 3} = 64

Refine

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

Multiply both sides by

y^{3}

1 = 64 y^{3}

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

y = 0

Combine undefined points with solutions:

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

0 = \frac{x + 2}{x - 6}

- \frac{2 x + 2}{x + 3} = 6

[\frac{x + 4}{2 x - 1}] = 2

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

\frac{8}{3} = \frac{v - 9}{7 v + 4}

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