What is the answer to 6=x^{-1} ?

The answer to 6=x^{-1} is x= 1/6

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6=x^{-1}

6 = x^{- 1}

x = \frac{1}{6}

Decimal Notation

x = 0.16666 \dots

Solution steps

6 = x^{- 1}

Refine

6 = \frac{1}{x}

Multiply both sides by

x

6 x = 1

Divide both sides by

6

x = \frac{1}{6}

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = \frac{1}{6}

x^{- 2} - 4 x^{- 1} - 12 = 0

\frac{6}{10} = \frac{- 14}{x}

\frac{x + 5}{x + 2} = \frac{5}{7}

- 3.879 = \frac{1 + x}{x}

- x^{- 2} = - 4