Question

HELP!!!

Answer 1

Rewrite it without all the flips.

Answer 2

I am sorry I don't understand:(

Answer 3

\[\frac{ 3x ^{5} }{ 4y ^{3} }\times \frac{ 8y ^{2} }{ 9x ^{4} }\times \frac{ 15 }{ 16yx ^{3} }\]

Answer 4

OK

Answer 5

And now do I add them together or factor? @just.chris

Answer 6

Make it all times so that it just a matter of canceling out common factors without having to figure out which is the numerator or denominator. Its times to factor.

Answer 7

so factor

Answer 8

Ok, thanks

Answer 9

They were just trying to mess with your head with the divid and the -1 exponent.

Answer 10

@just.chris I can't seem to factor it :(

Answer 11

I did it by changing all the numbers to least common factors so the top looked like this on my scrap paper:
\[\left( 3 \right)\times\left(2\times2\times2 \right)\times\left( 3 \times 5 \right) \times x ^{5}y ^{2}\]
Then did the same kind of thing for the bottom and cancelled out common factors.

Answer 12

Ok let me try then:(

Answer 13

Would A be the correct answer? @just.chris

Answer 14

Can you send show me what you came out with for the bottom?

Answer 15

For the bottom I got 4x^32 y^4

Answer 16

In the equation I cleaned up to make everything multiplication the denominator is:
\[4y ^{3}\times9x ^{4}\times16yx ^{3}\]
to multiply the variables add the exponents \[y ^{3} \times y =y ^{4}\]

Answer 17

@just.chris ok then y is y^4

Answer 18

x is x^7

Answer 19

Yes

Answer 20

And you multiply the numbers. Or you can factor to least common factors. Then just cancel things out of the top, which I did in one of the above replies, from the bottom, which you are well on your way to finishing now, to simplify.

Answer 21

@just.chris I can't seem to get the right answer :(

Answer 22

OK. forget about the numbers completely, just for the moment, and simplify the bottom for the variables only, x to the what times y to the what?

Answer 23

x^7 times y^3

Answer 24

Oops! x^7 times y^4. Did you miss a y or not understand?

Answer 25

I missed it :(

Answer 26

Sorry!!!

Answer 27

Good. So now do the numbers only, you can multiple them all together or give me least common factors for each grouped in parans like I did for the top.

Answer 28

(3)×(2×2×2)×(3×5)

Answer 29

(2 x 2) (3 x 3) and (4 x 4)

Answer 30

for the botom

Answer 31

Thats right you'll need to further reduce the 4's when you start canceling out but that's right. And it is 2 x 2 x 3 x 3 x 4 x 4, because its all multiplication.

Can you put the top from above over what you've just done for the bottom and start cancelling now?

Answer 32

I got 10/16

Answer 33

You can factor 2 out of the top and the bottom. You probably don't need to any more but you should also factor the variables.

Answer 34

then I would get 5/8

Answer 35

Yup. Do you want to do the variables too now?

Answer 36

ok

Answer 37

I already did the top above x^5y^2, you did the bottom so what do you get when you cancel these out?

Answer 38

for the bottom we get y^2 and x^2

Answer 39

Excellent, now put it all together and you get?

Answer 40

5/ 8y^2x^2

Answer 41

Yup. This was an exercise to test your "neatness" making sure you get the right things on the top and the right things on the bottom and were careful about the math. Very patient of you to keep at it.

Answer 42

Thank you so much!!! Thanks to you I think that I will be able to do these kinds of problems alone. THANK YOU for your patience!!! you are such a good teacher!!! :)

Answer 43

Many people on here are just trying to get answers done for them. You are trying to learn. I respect that. Thank you, too.