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February 27th, 2012, 08:10 PM   #1
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Exponent Laws

((-5k^3 x k^2)/(k))^2(((-k)^5 x k^2)/(5k^2))

heres my attempt but i cant get it , i know the answer is -5k^13.

(after i simplify)

(25k^ x ((-k)^5/(5)) = 5k^3

plz help
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February 27th, 2012, 09:16 PM   #2
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Re: Expontent Laws

nvm i just realized my mistake 5 minutes after i posted sorry.
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February 28th, 2012, 08:48 AM   #3
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Re: Expontent Laws

Please do not use "x" as multiplication sign; standard is now "*"
You had this to simplify:
Code:
 -5 * k^3 * k^2
 --------------^2 * (-k)^5 * k^2
       k
 -------------------------------
           5 * k^2
Yout calculation of 25k^8 for this was correct:
Code:
-5 * k^3 * k^2
 --------------^2 
       k
As next step, do the division by 5k^2: 25k^8 / 5k^2 = 5k^6

So now you need only worry about (-k)^5 * k^2
And that simplifies to -k^7

So wrap up: 5k^6 * (-k^7) = -5k^13

That's just a suggestion as to steps to follow;
in other words, do the easiest/obvious first.
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