What is the answer to (-3)^{-5}= 1/x ?

The answer to (-3)^{-5}= 1/x is x=-243

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(-3)^{-5}= 1/x

(- 3)^{- 5} = \frac{1}{x}

x = - 243

Solution steps

(- 3)^{- 5} = \frac{1}{x}

Refine

- \frac{1}{243} = \frac{1}{x}

Cross multiply

- x = 243

Divide both sides by

- 1

x = - 243

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = - 243

\frac{x + 1}{2 x - 3} = \frac{5}{6}

2 F - G = \frac{D}{h}

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

\frac{9 ( y - 1 )}{3 ( y + 2 )} = - 21

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