What is the answer to v/g =(-1)/(v^{-8)} ?

The answer to v/g =(-1)/(v^{-8)} is v=-1/(\sqrt[7]{g)};\quad g\ne 0

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v/g =(-1)/(v^{-8)}

\frac{v}{g} = \frac{- 1}{v ^{- 8}}

Solution steps

\frac{v}{g} = \frac{- 1}{v ^{- 8}}

Refine

\frac{v}{g} = - v^{8}

Multiply both sides by

g

v = - v^{8} g; g \neq = 0

Solve

Verify Solutions

Find undefined (singularity) points:

v = 0

Since the equation is undefined for:

0

\frac{4 v - 2}{8 v} = \frac{2}{3}

\frac{1}{x - 1} - 2 = 0

\frac{19}{x} = 4

\frac{1}{( 1 - x ) + \frac{x}{10}} = 5

0.001 = \frac{x - 0.6032}{x}

What is the answer to v/g =(-1)/(v^{-8)} ?
The answer to v/g =(-1)/(v^{-8)} is v=-1/(\sqrt[7]{g)};\quad g\ne 0