What is the answer to (a^5)/(a^3)=a^{-2} ?

The answer to (a^5)/(a^3)=a^{-2} is a=1,a=-1,a=i,a=-i

Solve for a: (a^5)/(a^3)=a^{-2}

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

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\frac{a ^{5}}{a ^{3}} = a^{- 2}

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

Solution steps

\frac{a ^{5}}{a ^{3}} = 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

x^{- 2} - x^{- 1} - 1 = 0

1.07 = - \frac{1}{x} ln (1 - 0.96)

\frac{1500}{x} = 45 + 15

\frac{( 2 x - 1 )}{x + 2} = \frac{4}{5}

\frac{3}{y} = \frac{6}{10}

What is the answer to (a^5)/(a^3)=a^{-2} ?
The answer to (a^5)/(a^3)=a^{-2} is a=1,a=-1,a=i,a=-i
Solve for a: (a^5)/(a^3)=a^{-2}
The solution is a=1,a=-1,a=i,a=-i