What is the answer to 2m^{-2}=32 ?

The answer to 2m^{-2}=32 is m= 1/4 ,m=-1/4

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2m^{-2}=32

2 m^{- 2} = 32

m = \frac{1}{4}, m = - \frac{1}{4}

Decimal Notation

m = 0.25, m = - 0.25

Solution steps

2 m^{- 2} = 32

Refine

\frac{2}{m ^{2}} = 32

Multiply both sides by

m^{2}

2 = 32 m^{2}

Solve

2 = 32 m^{2} : m = \frac{1}{4}, m = - \frac{1}{4}

m = \frac{1}{4}, m = - \frac{1}{4}

Verify Solutions

Find undefined (singularity) points:

m = 0

Combine undefined points with solutions:

m = \frac{1}{4}, m = - \frac{1}{4}

x, f = \frac{3 x - 21}{x + 5}

\frac{28 x}{x - 1} = 336

\frac{2 + 8}{x} = 9

l, p = \frac{f}{π r l}

\frac{x}{x + 3} + \frac{2}{x + 4} = 1