help me multiply and divide rational expreaaions

Question

anonymous · Answer

What is the equation?

anonymous · Answer

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

anonymous · Answer

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

yuki · Answer

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 · Answer

yeah i understand power rules . but do you cross mutiply

anonymous · Answer

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

anonymous · Answer

oh ok got it lol

yuki · Answer

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 · Answer

whattt ?

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

so...

anonymous · Answer

what im really bad at math

anonymous · Answer

Let me explain :)

anonymous · Answer

haha ok (:

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

im confused  :/

anonymous · Answer

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 · Answer

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

anonymous · Answer

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

anonymous · Answer

mmmmm ... idk about that

anonymous · Answer

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

anonymous · Answer

lol it really is but on my answer sheet it says

anonymous · Answer

A$$6^{4}/5$$.
b $$6^{3}/5$$
.c.$$336^{6}/280^{2}$$

anonymous · Answer

or d.$$42^{4}/35$$

anonymous · Answer

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 · Answer

well its for school lol . so..

anonymous · Answer

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