SOLUTION: Hi there! I just started highschool at a collegiate school. I am so thankful I got in, and I would like to learn as much as possible. But due to hurricane Irma, school was cancelle
Question 1093964: Hi there! I just started highschool at a collegiate school. I am so thankful I got in, and I would like to learn as much as possible. But due to hurricane Irma, school was cancelled and therefore my teacher did not have time to teach us. I know this is pretty simple, and I found the answers online, but I want to learn how to do it and get the answer myself. Here are a few problems I cannot get. Below is my work that I know is wrong.
i^7
(i^3)^2 x i
-i x -i = i
i x i = i
i^49
i^99
i^91
i^473
i^2001
i^8 + i^9 + i^10
Please help me asap. I have more questions like this, but I want to do most of it myself.
You can put this solution on YOUR website! i^7
(i^3)^2 x i
-i x -i = i
i x i = i
i^49
i^99
i^91
i^473
i^2001
i^8 + i^9 + i^10
-----------------------
i^1 = i
i^2 = -1
i^3 = -i
i^4 = 1
-----
It's "modulus 4" of a sort
==============
i^7 = i^4*i^3 = i^3
= i^2*i = -i
================
(i^3)^2 x i
-i x -i = i
i x i = i
---
i^49
= i^48*i = i
===============
i^99
= i^96*i^3 = -i
===============
i^91
i^473
i^2001
i^8 + i^9 + i^10
= 1 + i - 1
= i
