## dan815 one year ago Exponents, just wondering how people think of exponents and how they make sense of it Here are the basic rules $(1) ~x^{int} = x*x*x..*x, x$ multiplied by itself int times $(2)~x^{int1*int2}=(x^{int1})^{int2}$ $(3)~x^{1/int2}= int2th\sqrt {x}$ $(4)~x^{-int}=\frac{1}{x^{int}}$ $(5)~x^{imaginary}=.....$

1. anonymous

Nice to know :D

2. dan815

|dw:1434835896106:dw|

3. dan815

|dw:1434836114707:dw|

4. anonymous

I have no idea danny boy...Im still just a 10th grader ._.

5. AbdullahM

What is this int ?

6. dan815

integer

7. dan815

ignore the last one, but im just curious how other people justify their power rules

8. AbdullahM

Ah, that makes more sense. xD

9. AbdullahM

This tutorial has some great explanation about the exponent rules: http://openstudy.com/study#/updates/545b7a88e4b0a717ff633e5d

10. zzr0ck3r

I think of them as bad notation that is needed.

11. ikram002p

ok dan :3

12. dan815

haha

13. anonymous

Just a LaTeX tip: use \sqrt[n]{...} to write $$n$$th roots, e.g. $$\sqrt[n]{\cdots}$$

14. Empty

$\LARGE x^{e^{i 2\pi}}=\frac{x}{1}$ $\LARGE x^{e^{i \pi}}=\frac{1}{x}$ $\LARGE x^{e^{i \pi /2}}=1 | x$ $\LARGE x^{e^{i 3\pi /2}}=x|1$