## anonymous 5 years ago help me multiply and divide rational expreaaions

1. anonymous

What is the equation?

2. anonymous

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

3. anonymous

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

4. anonymous

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

5. anonymous

yeah i understand power rules . but do you cross mutiply

6. anonymous

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

7. anonymous

oh ok got it lol

8. anonymous

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?

9. anonymous

whattt ?

10. anonymous

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

11. anonymous

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

12. anonymous

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

13. anonymous

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

14. anonymous

so...

15. anonymous

what im really bad at math

16. anonymous

Let me explain :)

17. anonymous

haha ok (:

18. anonymous

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

19. anonymous

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

20. anonymous

im confused :/

21. 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

22. anonymous

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

23. anonymous

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

24. anonymous

25. anonymous

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

26. anonymous

lol it really is but on my answer sheet it says

27. anonymous

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

28. anonymous

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

29. 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.

30. anonymous

well its for school lol . so..

31. anonymous

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