help me multiply and divide rational expreaaions

- anonymous

help me multiply and divide rational expreaaions

- Stacey Warren - Expert brainly.com

Hey! We 've verified this expert answer for you, click below to unlock the details :)

- katieb

I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!

- anonymous

What is the equation?

- anonymous

\[24/7^{2} \times 14^{6}/ 40\]

- anonymous

Ok. Do you understand the "power rules" such as 7^2 = 49?

Looking for something else?

Not the answer you are looking for? Search for more explanations.

## More answers

- yuki

usually it makes it easier to break down the numbers into its prime factors
for example,
24 =
\[2^3 * 3\]
then you divide out whatever is on the numerator and denominator

- anonymous

yeah i understand power rules . but do you cross mutiply

- anonymous

No. You horizontally multiply. Cross multiplication is for terms on either side of the = sign.

- anonymous

oh ok got it lol

- yuki

for future reference, kitkat, what you wanted to say is probably
cross "division"
you meant to cancel the terms on the top and the ones on the bottom right?

- anonymous

whattt ?

- anonymous

What Yuki was implying... Examine 7^2 and 14^6. How can the 14^6 eliminate 7^2?

- anonymous

yall are confusing me know .. so i 7\[\times\] 7 = 49 then

- anonymous

14^6 can be rewritten as 7*2(14^5)

- anonymous

That will cancel out 7^2 and make it just 7

- anonymous

so...

- anonymous

what im really bad at math

- anonymous

Let me explain :)

- anonymous

haha ok (:

- anonymous

(24/7^2) * 14^6/40 =
(24/7) / 2(14^5)/40
We've taken a step to reduce the equation

- anonymous

sorry, i meant (24/7) * 2(14^5)/40

- anonymous

im confused :/

- anonymous

24/7 can be rewritten as 6*4/7 and 2(14^5)/40 can be rewritten as 2(14^5)/(4*10)
The 4's will cancel and you'll have 6/7 * 2(14^5)/10

- anonymous

okayy i think i get it so the answer should be 6\[^{4}\]/5

- anonymous

no the answer will be 92198.4
6 * 2(14^5) = 6453888
7*10=70
3226944/0
6453888/70 = 92198.4

- anonymous

mmmmm ... idk about that

- anonymous

lol, it works out. it's tough explaining it on the computer.

- anonymous

lol it really is but on my answer sheet it says

- anonymous

A\[6^{4}/5\].
b \[6^{3}/5\]
.c.\[336^{6}/280^{2}\]

- anonymous

or d.\[42^{4}/35\]

- anonymous

vry odd. I just put it in my TI 89 calc and got my same answer. Bad answer sheet? I'm 99.9% sure I did the math correctly.

- anonymous

well its for school lol . so..

- anonymous

Double check with your teacher. I'm very confident I gave you the right solution.

Looking for something else?

Not the answer you are looking for? Search for more explanations.