SOLUTION: Simplify the following complex numbers. 1. (-1-√(-16))(3-√(-100)) 2. i^46

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Question 1038301: Simplify the following complex numbers.
1.
(-1-√(-16))(3-√(-100))



2. i^46
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
#1:
Two binomials multiplied. You already learned to do this but here, you do not have variables. Just do what you already know. Watch carefully, that the factors are both Complex. sqrt%28-1%29sqrt%28-1%29=-1 and i%5E2=-1.


#2:
Look for a pattern, unless you already know this pattern. 
Exponent         i raised to that exponent
1                         i
2                        -1
3                        -i
4                         1
5                         i
6                        -1

Can you see what to do with this pattern?