Question

Simplify 27x^3/9x^2.

Could someone explain it to me because it say on my worksheet that it's 3x simplified but I keep getting 9x.

Answer 1

Hey first of all:

\[\huge \color{blue}{\textbf{Welcome To Openstudy...}}\]

Answer 2

See:

For x part use this:

\[\large \color{green}{\frac{x^a}{x^b} = x^{a - b}}\]

Answer 3

Here as you are seeing a = 3 and b = 2, so proceed further and tell me what are you getting??

Answer 4

I don't understand. The way my teacher showed it we had to put it in standard form and then cross out what both sides have.

Answer 5

So, let us do it by one another method:

\[\large \color{blue}{x^3 = x \times x \times x}\]

And:

\[\large \color{red}{x^2 = x \times x}\]

Am I right??

Answer 6

See, if you have any difficulty then ask me directly and remember I am not your teacher but a Friend, so let everything clear here only..

Answer 7

It's more like:



And alright, thank you.

Answer 8

And I am seeing that you got "x" in your answer that is right..

But you got "9" with it on which we have to work more..

Waiting for your reply..

Answer 9

Yes, I cross out all the threes because they are the same on both sides but I don't know if I should simplify the 9. I got the X's correctly.

Answer 10

3x?

Answer 11

Yep..

Not getting this part??

Answer 12

Not really.

Answer 13

Here can you tell what are getting cancelled??

Answer 14

The three's and two x's on both sides.

Answer 15

\[9x\]

That.

Answer 16

Hey wait:

\[\huge \frac{3 \times 9 \times x \times x \times x}{9 \times x \times x}\]

This is your original question I think..

Answer 17

Am I right or wrong??

Answer 18

Well originally it was:

3 * 9 * x * x * x
3 * 3 * x * x

I don't think that I can just multiply the three's on the lower part. I would have to cancel them out.

Answer 19

But I think you might be right. That I multiply the bottom three's and cancel out the nines.

Answer 20

See, on lower side why are you writing 9 as 3*3??

Answer 21

That's how it was shown on my paper how to do it. It didn't give me any other explanation.

Answer 22

Keep that 9 as it will be simple for you to understand..

See, on upper side you can write 27 as : 3*9

And keep 9 itself on lower side..

So you will get:

\[\large \frac{3 \times 9 \times x \times x \times x}{9 \times x \times x}\]

Now cancel whatever you can cancel..

Answer 23

So just cancel out the nines and two x's on both sides.

Answer 24

Yep so are you left with:

\[\large 3x\]

Answer 25

I get it now. Thanks so much.