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baby456
 one year ago
(3x^2 y)^3/(6x^2 y^5) please help medal + fan and please explain it.
baby456
 one year ago
(3x^2 y)^3/(6x^2 y^5) please help medal + fan and please explain it.

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hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Your missing a part there after 6x

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2What power is 6x being raised to? 2y^5?

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Got it. :) So you're simplifying it, right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0use your basic properties of exponents. \(\dfrac{a^M}{a^N}=a^{(MN)}\\\) etc.

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Tip: First simplify \[(3x ^{3}y)^{3}\]

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Good, now you can use the formulas Jenny gave you.

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Hold on, 3^3 is what?

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Again, what Jenny said... I was wrong to say that you were right in your simplification.

baby456
 one year ago
Best ResponseYou've already chosen the best response.0oh i simpfieed it 27X^6y^3

baby456
 one year ago
Best ResponseYou've already chosen the best response.0ok so how about the bottom

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Well, now all you have to use is the Exponent Rule: \[\frac{ x ^{a} }{ x ^{b} } = x ^{ab}\]

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Well, this is kind of hard to explain in text, but I'll try. :) You have (ignoring the y) 27x^9  6x^2 To divide it into 27, make it 2(3x^2) since 3 can be divided into 27. Then use the exponent rule.

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2dw:1435275705062:dw SOrry for my terrible drawing skills haha. Now just divide out the 3x^2

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Just divide 27x^9  3x^2 You will leave the 2 at the bottom.

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2remember its x^a  = x^a  b x^b

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0split it up like this \(\dfrac{(3x^2 y)^3}{(6x^{2} y^5) }=\dfrac{27x^6y^3}{6x^{2}y^5}=\dfrac{27}{6}*\dfrac{x^6y^3}{x^{2}y^5}\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0read your textbook. she's explained the property several times over

baby456
 one year ago
Best ResponseYou've already chosen the best response.0i dont have a textbook

baby456
 one year ago
Best ResponseYou've already chosen the best response.0still confused @jenny1994 is confusing me

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Let's go with Jenny's way For now, focus on simplifying x^6 y^3  x^2y^5

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Using the rule that I am too lazy to write out. (Just look above)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you can't follow a simple pattern? \(\large \dfrac{x^a}{x^b}=a^{(ab)}\implies \dfrac{x^6}{x^{2}}=?\)

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2We can do this Jenny... haha Patience is a virtue. I wish I could put "OpenStudy Math Tutor on my transcript.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Don't mention openstudy, but say you tutor. Resumes are all about embellishment

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Ha, I was joking, but that's a good idea!

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Sorry, back on subject.

baby456
 one year ago
Best ResponseYou've already chosen the best response.0who way should i follow

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Go with Jenny's Simplify x^6 y^3  x^2 y^5

baby456
 one year ago
Best ResponseYou've already chosen the best response.0you lost me at what to do about the bottom part please explain more

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Using the rule that has been mentioned several times, thus I won't write it out again, simplify. EXAMPLE x^4  = x^(42) = x^2 x^2 Get it? But to that do your formula

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2*but do that to your formula.

baby456
 one year ago
Best ResponseYou've already chosen the best response.0so is it x4 since its 62

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2I'm sorry, I typed it wrong, it's x^9 y^3  x^2 y^5 So it would be x^11 (since 9  (2) = 11) But you grasped the concept. Now what about the y?

baby456
 one year ago
Best ResponseYou've already chosen the best response.0where are you getting x^9 from

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2From when you simplified (3x^3 y)^3 = 27x^9 y^3

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Baby the subtraction comes from the rule, the bottom number also had a negative so don't let that extra negative get lost in the process! :)\[\Large\rm \frac{x^{\color{orangered}{6}}}{x^{\color{royalblue}{2}}}=x^{\color{orangered}{6}\color{royalblue}{2}}\]You don't get x^4, see that?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.12^3 does not equal 6. I think you meant 2*3 = 6 :)

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Oh, I'm sorry. But remember cubed mean 2 * 2 *2

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2Hey, I gotta run. @zepdrix could you take over?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1you mean for the final power on x? for the 6   2? ya that looks better baby :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1ya you get outta here missy :P hehe

hlambach
 one year ago
Best ResponseYou've already chosen the best response.2haha, thanks, I;m already running late. :)

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1So you understood this first step, yes?\[\Large\rm \frac{(3x^2 y)^3}{6x^{2} y^5}=\frac{27x^6 y^3}{6x^{2} y^5}\]And then did you understand the part with the x's?\[\Large\rm \frac{27\color{orangered}{x^6} y^3}{6\color{orangered}{x^{2}} y^5}=\frac{27\color{orangered}{x^8}y^3}{6y^5}\] I'm just trying to figure out where we're at :O This thread is so long and messy

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large\rm \frac{27x^8\color{royalblue}{y^3}}{6\color{royalblue}{y^5}}=\frac{27x^8\color{royalblue}{y^?}}{6}\]What about the y's? :) What do you think will happen there?

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large\rm \frac{27x^8\color{royalblue}{y^{2}}}{6}\]Mmmm good. As a final step, you want to notice that the 27 and 6 share some factor.

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large\rm \frac{27x^8y^{2}}{6}=\frac{9\cdot3x^8y^{2}}{2\cdot3}\]Yah that sounds right

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large\rm \frac{9\cdot\cancel3x^8y^{2}}{2\cdot\cancel3}\]

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1Sometimes your teacher will ask for the final answer with NO NEGATIVE POWERS. Do you understand how to deal with the y if you have to get rid of the negative power? :o

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1mm k, well our exponent rule tells us to flip it. if its in the numerator, it gets tossed down the denominator and the sign changes on the power. if it's in the denominator it goes up to the numerator and the sign changes on the power. examples:\[\Large\rm \frac{1}{2x^{7}}=\frac{x^7}{2}\] \[\Large\rm \frac{x^{4}}{3}=\frac{1}{3x^4}\]

baby456
 one year ago
Best ResponseYou've already chosen the best response.0OH I REMEMBER THIS YOU JUST SWITCH IT LIKE A RECIPROCAL

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1good good :) reciprocal, and change from negative to positive

baby456
 one year ago
Best ResponseYou've already chosen the best response.0OK THANKS I HAVE TO GO NOW

baby456
 one year ago
Best ResponseYou've already chosen the best response.0THANKS FOR ALL YOUR HELP

zepdrix
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large\rm \frac{9x^8y^{2}}{2}=\frac{9x^8}{2y^{2}}\]so ya that will fix the y :)
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