Solution
= Solution
Multiplying by the <complex conjugate> of the denominator gives $(1+i)/(i-1)=-i$. Cubing yields
$$
\boxed{\left(\frac{i+1}{i-1}\right)^3=i.}
$$
= Solution
Multiplying by the <complex conjugate> of the denominator gives $(1+i)/(i-1)=-i$. Cubing yields
$$
\boxed{\left(\frac{i+1}{i-1}\right)^3=i.}
$$