Question

Help Simplify Expressions

Answer 1

\[\frac{ 4x^3 }{ 28x^4 }\]
Please show your work and help me understand how to do this.

Answer 2

Separate it if it helps: \(\Large \frac{28}{4}*\frac{x^3}{x^4}\)
Do you know the rules for dividing exponents?

Answer 3

No, not in my head.

Answer 4

\[\LARGE \frac{x^a}{x^b}=x^{a-b}\]

Answer 5

\[\frac{ x^4 }{ x^3 }=x ^{4-3}\]
Like that?

Answer 6

It's actually \[\Large \frac{x^3}{x^4}\]

Answer 7

so it is right if i flip it?

Answer 8

Nope, you have to do it as it is, or you'll get a totally different answer.

Answer 9

oh

Answer 10

Yup, there you go, what does that give you?

Answer 11

opps deleted it thought it was wrong

Answer 12

No, it was right.

Answer 13

\[\frac{ x^3 }{ x^4 }=x ^{3-4}\]

Answer 14

What is the final answer for that?

Answer 15

\[x ^{3-4}\]

Answer 16

What is 3-4?

Answer 17

-1

Answer 18

Right!
So now you have \(\Large x^{-1}\).. which can just be rewritten as \(\large \frac{1}{x}\).

Answer 19

alright now what about \[\frac{ 28 }{ 4 }\]

Answer 20

Just divide as if it was a regular fraction.

Answer 21

is it \(\frac{28}{4}\) or \(\frac{4}{28}\) ?

Answer 22

so 28 divided by 4 = 7

Answer 23

What @ganeshie8 said, you have to use what you are given, can't go switching things around to make it better.

Answer 24

ok

Answer 25

so that would be 1/4?

Answer 26

Nope, try again.

Answer 27

1/7

Answer 28

There you go, now, just multiply them together and you'll get your final answer:
\[\Large \frac{1}{7}*\frac{1}{x}=?\]

Answer 29

\[\frac{ 1 }{ 7 }\times \frac{ 1 }{ x }=\frac{ 1 }{ 7x }\]

Answer 30

And there is your answer, nice job :)

Answer 31

thank you! You deserve a medal!

Answer 32

Glad to help :)
Good luck ~

Answer 33

:) Hopefully I can work through a whole 3 days of behind school work