Calculating Powers of Complex Numbers

Consider the complex number z defined as:

z = $$2 + 3i$$

Where i is the imaginary unit such that $$i^2 = -1$$. Calculate the value of z raised to the power of 5, z⁵, and express the answer in the form of a + bi, where a and b are real numbers.

Your goal is to find z⁵ and select the correct answer from the following options.