Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
The answer to 7^5 = 16807
Answer:
1. Slope = -4/5
2. Slope = 2/3
3. Slope = 0
4. Slope = 3/-4
5. Slope = 7/-12
6. Slope = 1/2
7. Slope = -2/0 --> Undefined
8. Slope = 3/-2
9. Slope = 5/-4
10. Slope = 4/3
Step-by-step explanation:
Ok so I'm assuming that you want the slope for all the two points. Basically, the formula for slope is rise/run, or y2-y1/x2-x1. Solve using that. For example, for number 1, it would be:
10-2/1-11 = 8/-10 = -4/5
