What is the answer to b^{-1}=5 ?

The answer to b^{-1}=5 is b= 1/5

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b^{-1}=5

b^{- 1} = 5

b = \frac{1}{5}

Decimal Notation

b = 0.2

Solution steps

b^{- 1} = 5

Refine

\frac{1}{b} = 5

Multiply both sides by

b

1 = 5 b

Switch sides

5 b = 1

Divide both sides by

5

b = \frac{1}{5}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{1}{5}

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

(x + 10) (\frac{1000}{x} - 5) = 1000

\frac{4}{v - 10} = \frac{11}{12}

\frac{1.5}{4.5} = \frac{3.5}{x}

\frac{- 9 x + 3}{3 x + 7} = - 2