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

The answer to a^2=a^{-2} is a=1,a=-1,a=i,a=-i

Solve for a: a^2=a^{-2}

The solution is a=1,a=-1,a=i,a=-i

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Popular >

a^{2} = a^{- 2}

a = 1, a = - 1, a = i, a = - i

Solution steps

a^{2} = a^{- 2}

Refine

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

Multiply both sides by

a^{2}

a^{4} = 1

Solve

a^{4} = 1 : a = 1, a = - 1, a = i, a = - i

a = 1, a = - 1, a = i, a = - i

Verify Solutions

Find undefined (singularity) points:

a = 0

Combine undefined points with solutions:

a = 1, a = - 1, a = i, a = - i

8400 x^{- 1} = 1 mod 11

\frac{( x + 8 )}{x} = e^{3}

\frac{1.5}{3} = \frac{1}{x}

a, \frac{a}{b} + c + \frac{b}{c} + a + \frac{c}{a} + b = 0

\frac{( x - 1 )}{( x + 1 )} + \frac{( x + 1 )}{( x - 1 )} = \frac{5}{2}

What is the answer to a^2=a^{-2} ?
The answer to a^2=a^{-2} is a=1,a=-1,a=i,a=-i
Solve for a: a^2=a^{-2}
The solution is a=1,a=-1,a=i,a=-i