SOLUTION: PLease help to simplify
-3i^4 + 5i^3
DIVIDED BY
6i^2 - 7i
Algebra.Com
Question 67309This question is from textbook An Incremental Development
: PLease help to simplify
-3i^4 + 5i^3
DIVIDED BY
6i^2 - 7i
This question is from textbook An Incremental Development
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
3i^4 + 5i^3
DIVIDED BY
6i^2 - 7i
:
It helps to know the pattern of how the successive powers of i are simplified:
i^1 = i
i^2 = -1
i^3 = i^2 * i = -i
i^4 = i^2 * i^2 = -1 * -1 = +1
i^5 = i * i^4 = i*1 = i
i^6 = i^2 * i^4 = -1 * 1 = -1
:
Rewrite the equation using this information:
3(1) + 5(-i)
------------
6(-1) - 7i
:
You end up with:
:
we can further simplify (get rid of i in the denominator) by mult the denominator by it's conjugate:
* = = = =
:
= ; Notice we can reduce the fraction by dividing by 17
RELATED QUESTIONS
PLease help to simplify :
-3i^4 + 5i^3
Divided by
6i^2 -... (answered by scott8148)
1. (-2-2)(-4-3i)(7+8i)
2. 5i+7i*i
3. (6i)^3
4. 6i*-4i+8
5. -6(4-6i)
6. (8-3i)^2
7.... (answered by harpazo)
Please help!
I have so simplify each expression:
1. (2 + 3i) + (4+ 5i)
2. (5 +... (answered by solver91311)
How would I write the following expressions as complex numbers in standard form?
-i(4 -... (answered by harpazo)
Directions: Simplify the following-
1. 7i^5-8i^4+5i^3-4i^2
2.... (answered by MathLover1)
Please, could you help with this?
I need to simplify each expression
1. (2+3i)(4+5i) (answered by Alan3354)
please help to simplify
3i - 5
DIVIDED BY
-i^3 +... (answered by Edwin McCravy,ptaylor)
Hello. Can you please help me? I'd greatly appreciate it.
I need to simplify the... (answered by Fombitz)
simplify (3 -... (answered by tommyt3rd)