Question

\[ \frac{x^{4}}{x^{2}}. \] That was part 1. Part 2 says, Create your own fraction with like bases, coefficients, and show its simplification. Can someone help me please.

Answer 1

hmm...name a letter...any of the english alphabet...

Answer 2

x

Answer 3

now give me a number

Answer 4

1

Answer 5

not 1...or zero

Answer 6

7

Answer 7

7x

Answer 8

good good...so we'll use x as base and 7 as coeficient...it says fraction wherein the numerator and denominator has these so it;s

\[\frac{7x}{7x}\]

BUT WAIT! we add an exponent to x...now give me two different numbers

Answer 9

2 and 3

Answer 10

ok good 2 and 3...so it's

\[\large \frac{7x^2}{7x^3}\]

got it?

Answer 11

Yes.

Answer 12

to simplify that...we just cancel the coefficients since they are the same

\[\frac{\cancel{7}x^2}{\cancel{7}x^3}\]

got it?

Answer 13

Nope.

Answer 14

That part gets me.

Answer 15

Why do you have to cancel them out?

Answer 16

look at it this way

\[\large \frac{7x^2}{7x^3} = \frac{7}{7} \times \frac{x^2}{x^3}\]

okay?

Answer 17

How would I even read that? Well, I kinda get it. but why cross out?

Answer 18

Brb one sec. Need water.

Answer 19

that's 7/7 times x^2/x^3 lol and it would cross out because 7/7 is 1 got it?

Answer 20

Ohhhhhhhhhhh.

Answer 21

I get it now.

Answer 22

So, there is no more 7??

Answer 23

At all in the expression/equation?

Answer 24

yup just good old \(\Large \frac{x^2}{x^3}\)

Answer 25

.. so why even have numbers? ....

Answer 26

do you know how to simplify that?

Answer 27

I do, but I don't. :/

Answer 28

x^-1

Answer 29

I'm unsure. :/

Answer 30

yup that's right! x^-1..but how would you make it positive exponent?

Answer 31

Umm. Take the negative out and add a one as the numberator and have x^1 as denom.

Answer 32

numberator? lol. numerator.

Answer 33

right! the simplified form is \[\frac{1}{x}\]

Answer 34

x

Answer 35

1 over x or just x? is there a differenec?

Answer 36

let's say x is 2...is 1 over 2 the same as just 2?

Answer 37

No.

Answer 38

im not saying x is 2...im just showing it..

Answer 39

so then 1/x is not x :DD

Answer 40

lol. :) So to bring this to a summarization type deal.. how would I explain what we just did, a lot easier and/or in one message?

Answer 41

Can we do another example? or another problem or whatnot?

Answer 42

sure...try giving an example and ill help you simplify it

Answer 43

Okay. Let me smoke this cigarette and I'll come back. Will you still be here to help me?

Answer 44

sure

Answer 45

Alright. Give me a few minutes okay?
Thank y9ou by the way.

Answer 46

I'm back.