SOLUTION: Directions: Simplify the following- 1. 7i^5-8i^4+5i^3-4i^2 2. 6i^4-(3i-7)-8i^2+(4-15i) 3. (6i-7)(7i-6) 4. (8i-6)/2i 5. (10-9i)/(5-3i) Hello, I am having trouble

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Directions: Simplify the following- 1. 7i^5-8i^4+5i^3-4i^2 2. 6i^4-(3i-7)-8i^2+(4-15i) 3. (6i-7)(7i-6) 4. (8i-6)/2i 5. (10-9i)/(5-3i) Hello, I am having trouble      Log On


   

Question 397890: Directions: Simplify the following-
1. 7i^5-8i^4+5i^3-4i^2
2. 6i^4-(3i-7)-8i^2+(4-15i)
3. (6i-7)(7i-6)
4. (8i-6)/2i
5. (10-9i)/(5-3i)

Hello, I am having trouble with these complex numbers problems on my practice test. The real test is next monday but I really don't feel prepared. Any help is greatly appreciated!
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
1. 7i%5E5-8i%5E4%2B5i%5E3-4i%5E2
7%28i%5E2%29%28i%5E2%29i+-+8%28i%5E2%29%28i%5E2%29%2B+5%28i%5E2%29i+-+4i%5E2........(i^2=-1)
7%28-1%29%28-1%29i+-+8%28-1%29%28-1%29%2B+5%28-1%29i+-+4%28-1%29
7i+-+8+-+5i+%2B+4
2i+-+4++


2. 6%28i%5E2%29%28i%5E2%29+-%283i-7%29-+8i%5E2+%2B%284+-+15i%29
6%28-1%29%28-1%29+-%283i-7%29-+8%28-1%29+%2B%284+-+15i%29
6+-3i+%2B+7+%2B+8+%2B+4+-15i
25+-18i


3. %286i-7%29%287i-6%29
%286i%287i%29-7%2A7i+%2B+6i%28-6%29+-+7%28-6%29%29
42%28i%29%5E2-+49i+-+36i+%2B+42
42%28-1%29-+85i+%2B+42
-42+-+85i+%2B+42
+-+85i+

4. %288i-6%29%2F2i
%288i%2F2i%29+-6%2F2i
%28cross%288i%294%2Fcross%282i%29%29+-cross%286%293%2Fcross%282%29i
4+-%283%2Fi%29

5. %2810-9i%29%2F%285-3i%29........multiply nominator and denominator by %285%2B3i%29
%28%2810-9i%29%285%2B3i%29%29%2F%28%285-3i%29%285%2B3i%29%29

%28%2810%2A5%2B30i+-45i%2B+27%28i%29%5E2%29%29%2F%285%5E2-%283i%29%5E2%29

%28%2850+-15i%2B+27%28-1%29%29%29%2F%2825+-%289%28-1%29%29%29

%2850+-15i+-+27%29%2F%2825+%2B9%29

%2823+-15i+%29%2F34