If u multiply two numbers.........with the same base.........u add the exponents..........2 is the same as 2^1....(every number has an exp of 1......unless written otherwise)......................2 ^1 * 2^2.................is 2 times 2 ^2..........then u add 1 + 2........which is 3................2 ^ 1 * 2^2 = 2 ^ 1 + 2 = 2^3 = 8................of course it is just 2 times 4........2 times 2 squared..........8 either way................3 twos.........2 cubed is 2 * 2 * 2 = 8..................................the base is 2............................so u just add the exp...................but u cannot add reals to imaginaries......................which is why it is complex........5 + 5i..............is just 5 + 5i..........it is like the radicand..............2 times the square root of 2............is not 4...............u cannot simplify it further.............................u can compute the dec. value though...........

So.............2 ^ 1 + i....................is just 2 * 2^i...............the same as 2 ^1 * 2^i .........it is the same thing........just written differently..........just like the square root of 8 is the same as 2 times the square root of 2.........or 1.........is also 1/1...........................just different ways of writing the same thing.......their values are the same.........so............2 ^ 1 + i.............as in 2.......raised to a complex exp..........1 + i............................is the same as 2 times 2 ^i.................2 times 2 to the i..........

From my previous posts..........since 2^i has two interpretations..........in my convoluted mind anyways...........................the square root of 8 and the square root of 10................e and pi.......fair approx. for both..............u just double both.................to get 2^1 + i..........2 times the square root of 8...............is 2 times the square root of 8...........which looks like 28..........if u ignored the radicand using the zero dimension..........................2 times the square root of 10.................is the same...........2pi..........really..................full circle.............a relatively close number.................2 times the square root of 10..........is like 20......................like 2, 3 to 23........sym........is a gap of 20....................40 - 60.......centered about 50..........is a 20 number gap..........for the 1st 20 numbers............10 and 10...........there are 4 primes........then 4 primes..................seems similar to 2 + 2 = 4................2 * 2 = 4............balance and sym...............