What is the answer to 2^{-5}= 1/x ?

The answer to 2^{-5}= 1/x is x=32

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2^{-5}= 1/x

2^{- 5} = \frac{1}{x}

x = 32

Solution steps

2^{- 5} = \frac{1}{x}

Refine

\frac{1}{32} = \frac{1}{x}

Cross multiply

x = 32

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 32

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

\frac{5}{x - 3} + 9 = 2

\frac{3}{5} + \frac{7}{x + 2} = 2

\frac{2}{3 ( 9 x + 6 )} = 6 x + 4

\frac{1}{x - 2} + 3 = \frac{10}{x - 2}