Question 2181
<b> NO SOLUTION </B>
{{{x^3 = -1/x^3}}}
{{{x^3 * x^3 = x^6}}}
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{{{x^6 = -1}}}
{{{(-1)^(1/6)}}} is not possible.  You will get an imaginary/complex number.
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There is not real solution.  The only solution is:
<b> i </b>