What is the reason that when different powers of the same quantity

X^3= x*x*x
X^2 = x*x
X^5=x*x*x*x*x

2^2=2*2=4
2^3=2*2*2=8
4*8=32
2^5=2*2*2*2*2=32

It's just a standard rule of mathematics.
When multiplying with like bases, exponents add.

x^3 = x*x*x
x^4 = x*x*x*x
x^3*x^4 = (x*x*x)*(x*x*x*x) = x*x*x*x*x*x*x = x^(3+4) = x^7

ya dingus
alkynes of retarded.bmp

>>8431496
Where did the rule come from, hence the word "reason"?

please don't post before you do small cases yourself, otherwise you will remain as a useless low IQ pleb forever.

File: mqdefault.jpg (4KB, 320x180px) Image search: [Google]

4KB, 320x180px

>>8431497
I kek'd

>>8431499
See
>>8431495

I did an example so you could see the equivalence

>>8431495
>>8431497
>proof by example

>>8431496
>proof by appeal to authority/restatement of the claim

>>8431500
>proof by intimidation

high school students detected

>>8431512
Find one counter example and I will write a formal proof for this

laws (actually "rules") of exponents
Lrn-them fgt pls

>>8431530
I can't, but i'm not a super mathematician, its possible that there could still be some case where adding the exponents does not yield the correct answer... you wouldn't want to close the door on those possibilities right?

because exponents are induced by diffraction and disposition