help me multiply and divide rational expreaaions

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help me multiply and divide rational expreaaions

Mathematics
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What is the equation?
\[24/7^{2} \times 14^{6}/ 40\]
Ok. Do you understand the "power rules" such as 7^2 = 49?

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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
yeah i understand power rules . but do you cross mutiply
No. You horizontally multiply. Cross multiplication is for terms on either side of the = sign.
oh ok got it lol
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?
whattt ?
What Yuki was implying... Examine 7^2 and 14^6. How can the 14^6 eliminate 7^2?
yall are confusing me know .. so i 7\[\times\] 7 = 49 then
14^6 can be rewritten as 7*2(14^5)
That will cancel out 7^2 and make it just 7
so...
what im really bad at math
Let me explain :)
haha ok (:
(24/7^2) * 14^6/40 = (24/7) / 2(14^5)/40 We've taken a step to reduce the equation
sorry, i meant (24/7) * 2(14^5)/40
im confused :/
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
okayy i think i get it so the answer should be 6\[^{4}\]/5
no the answer will be 92198.4 6 * 2(14^5) = 6453888 7*10=70 3226944/0 6453888/70 = 92198.4
mmmmm ... idk about that
lol, it works out. it's tough explaining it on the computer.
lol it really is but on my answer sheet it says
A\[6^{4}/5\]. b \[6^{3}/5\] .c.\[336^{6}/280^{2}\]
or d.\[42^{4}/35\]
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.
well its for school lol . so..
Double check with your teacher. I'm very confident I gave you the right solution.

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