What is the answer to 16=a^{-2} ?

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

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16=a^{-2}

16 = a^{- 2}

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

Decimal Notation

a = 0.25, a = - 0.25

Solution steps

16 = a^{- 2}

Refine

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

Multiply both sides by

a^{2}

16 a^{2} = 1

Solve

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

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

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

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

\frac{2}{y} + \frac{6}{y} = 4

(x - 1)^{- 2} = 4

\frac{x}{100 - x} = 1 0^{8 - 7.4}

\frac{3}{9} = \frac{2}{v + 2}

\frac{2 π}{x} = 5