Question

what is the value of a complex number raised to the power complex number

Answer 1

When you write your complex number as an e-power, your problem boils down to taking the Log of (1+i)(1+i). Now that is ln2–√+iπ4ln⁡2+iπ4 and here it comes: + all multiples of 2iπ2iπ. So in your e-power you get (3+4i)×(ln2–√+iπ4+k⋅i⋅2π)(3+4i)×(ln⁡2+iπ4+k⋅i⋅2π) I would keep the answer in e-power form. You can now work it out.

Answer 2

Answer:

A complex number is any number that includes i. Thus, 3i, 2 + 5.4i, and –πi are all complex numbers. (In fact, the real numbers are a subset of the complex numbers-any real number r can be written as r + 0i, which is a complex representation.)