This paper presents a comprehensive derivation of a calculatorfriendly expression for computing the power of one complex number raised to another, specifically z1 = a + bi raised to z2 = c + di. By leveraging the fundamental properties and formulae intrinsic to complex numbers, we develop an explicit, practical method that can be implemented on modern scientific and graphical calculators, such as the Casio FX-991ES or newer models. The derivation emphasizes the mathematical rigor required to handle the inherent complexities of exponentiation in the complex plane, while also providing a user-friendly format that simplifies direct calculation. This work not only bridgesthe gap between theoretical mathematics and practical computation but also offers a valuable tool for students, educators, and professionals who frequently engage in complex number arithmetic. With this approach, the need for advanced computational tools like Mapleor Mathematica for complex exponentiation is significantly reduced. The derived formula is capable of calculating complex exponents withprecision up to six decimal places, closely matching the accuracy of these sophisticated tools. Thus, it enhances the efficiency of problemsolving in various mathematical and engineering applications.