What is the answer to 1/16 =b^{-2} ?

The answer to 1/16 =b^{-2} is b=4,b=-4

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1/16 =b^{-2}

\frac{1}{16} = b^{- 2}

b = 4, b = - 4

Solution steps

\frac{1}{16} = b^{- 2}

Refine

\frac{1}{16} = \frac{1}{b ^{2}}

Cross multiply

b^{2} = 16

Solve

b^{2} = 16 : b = 4, b = - 4

b = 4, b = - 4

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = 4, b = - 4

x, z = \frac{x}{x + y}

\frac{3}{y ^{4}} - \frac{10}{y ^{2}} - 8 = 0

\frac{x + 3}{3} + \frac{1}{x - 3} = 4

\frac{x ^{2} + 1}{x} = 3

\frac{100 - x}{x - 91} = \frac{15}{3}