What is the answer to 4=b^{-2} ?

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

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4=b^{-2}

4 = b^{- 2}

b = \frac{1}{2}, b = - \frac{1}{2}

Decimal Notation

b = 0.5, b = - 0.5

Solution steps

4 = b^{- 2}

Refine

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

Multiply both sides by

b^{2}

4 b^{2} = 1

Solve

4 b^{2} = 1 : b = \frac{1}{2}, b = - \frac{1}{2}

b = \frac{1}{2}, b = - \frac{1}{2}

Verify Solutions

Find undefined (singularity) points:

b = 0

Combine undefined points with solutions:

b = \frac{1}{2}, b = - \frac{1}{2}

\frac{3}{x - 6} = \frac{1}{x}

t, I = \frac{q}{t}

20 x - 9 = \frac{20}{x}

\frac{1}{x} = 0.4

\frac{180 ( n - 2 )}{n} = 12