z= (5+4i)^{-2/3}$
You asked:
Investigate the equation: \(z = {\left( 5 + 4 i \right)}^{\frac{-2}{3}}\).
MathBot Answer:
The solution is: \[z = \frac{1}{\left(5 + 4 i\right)^{\frac{2}{3}}} \approx 0.26115588 -0.12609705 i\]
\(i\) is the imaginary unit, defined as \(i^2 = -1\).