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Destinyyyy
 one year ago
Cant remember how to solve this...
Destinyyyy
 one year ago
Cant remember how to solve this...

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Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1Multiply. 5xy^5 / 3x^5y^3 * 6x^5y^6 / 25x^7y^10

phi
 one year ago
Best ResponseYou've already chosen the best response.1y^5 means y*y*y*y*y if you divide that by y^3 \[ \frac{y\cdot y\cdot y\cdot y\cdot y}{y\cdot y\cdot y} = y\cdot y \cdot \frac{ y\cdot y\cdot y}{y\cdot y\cdot y}= y\cdot y= y^2\] or the fast way: if you are dividing , subtract top exponent minus bottom exponent i.e. \[ \frac{y^5}{y^3}= y^2\] notice 53=2

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1Okay thats ringing a bell...

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1but dont I need to simplify 25 and 6 into two smaller numbers?

phi
 one year ago
Best ResponseYou've already chosen the best response.1is this the original problem: \[ \frac{5xy^5}{3x^5y^3} \cdot \frac{6x^5y^6 }{25x^7y^{10}} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1if so, we multiply top times top and bottom times bottom \[ \frac{5xy^5\cdot6x^5y^6}{3x^5y^325x^7y^{10}} \] and you can reorder the top (and bottom) I would just start dividing the bottom into the top as much as possible

phi
 one year ago
Best ResponseYou've already chosen the best response.1for example, I already figured out y^5/y^3 = y^2 so we can simplify to \[ \frac{5xy^5\cdot6x^5y^6}{3x^5y^325x^7y^{10}} \\ \frac{5xy^2\cdot6x^5y^6}{3x^5\cdot 25x^7y^{10}} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.13 in the bottom can divide into 6 up top, to get 2 I would move the minus sign "out front". we get \[ \frac{5xy^2\cdot2x^5y^6}{x^5 \cdot 25x^7y^{10}} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1notice you have x^5 in the top and in the bottom. they "cancel out" (anything divided by itself is 1) so you have \[ \frac{5xy^2\cdot2x^5y^6}{x^5 \cdot 25x^7y^{10}} = \frac{5xy^2\cdot2y^6}{25x^7y^{10}}\]

phi
 one year ago
Best ResponseYou've already chosen the best response.1notice you have 5 up top and 25 down below 25 is 5*5 so we have a 5/5 that cancel, and 5 remains down below.

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1Im trying to follow but im getting lost... I remember having to do the first step as  5*x*y^5/ 3*x^5*y^3 * 2*3*x^5*y^6/ 5*5*x^7*y^10

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1And then minus the exponents and all.

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1So I now have  2/5

phi
 one year ago
Best ResponseYou've already chosen the best response.1the way I do these (where everything up top is multiplied and everything down below is multiplied) is ignore everything except one thing up top and the same thing down below for example, if we look just at 5 up top and 25 below \[ \frac{5}{25} = \frac{5}{5\cdot 5} = \frac{1}{5} \] and I would replace the 5 up top by 1 and the 25 below with 5 and *everything else stays the same*

phi
 one year ago
Best ResponseYou've already chosen the best response.1*** 5*x*y^5/ 3*x^5*y^3 * 2*3*x^5*y^6/ 5*5*x^7*y^10 *** yes that is good. (but is there supposed to be a minus sign in there) ?

phi
 one year ago
Best ResponseYou've already chosen the best response.1ok. so if we just at the numbers we have \[ \frac{5\cdot 2 \cdot 3}{3 \cdot 5 \cdot 5 }\] one pair of 5's cancel, and so does the pair of 3's so yes we get \[  \frac{2}{5} \]

phi
 one year ago
Best ResponseYou've already chosen the best response.1now do the x's \[ \frac{x\cdot x^5}{x^5\cdot x^7} \] we could make the top x^6 and the bottom x^12 but I try to divide first. for example x^5 divided by x^5 cancels (i.e.=1)

phi
 one year ago
Best ResponseYou've already chosen the best response.1is it clear how to simplify the x's or is it confusing?

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1So your talking about combining then but to try to divide first..

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1Do you mean subtract??

phi
 one year ago
Best ResponseYou've already chosen the best response.1the rules might be confusing, but remember this: for example x^5 means x*x*x*x*x and if we divide by x^7 = x*x*x*x*x*x*x i.e. \[ \frac{x\cdot x\cdot x\cdot x\cdot x}{ x\cdot x\cdot x\cdot x\cdot x\cdot x\cdot x}\]

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1I have this  2y^2x^2/ 5x^4 y^4

phi
 one year ago
Best ResponseYou've already chosen the best response.1every time you have an "x" up top and "x" down below, they cancel out so just cancel them out in pairs.

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1Final answer  2/ 5x^6y^2

phi
 one year ago
Best ResponseYou've already chosen the best response.1what do you get for \[ \frac{x\cdot x^5}{x^5\cdot x^7} \]?

phi
 one year ago
Best ResponseYou've already chosen the best response.1I would try to keep the exponents positive (less confusing) \[ \frac{x\cdot \cancel{x^5}}{\cancel{x^5}\cdot x^7} = \frac{x}{ x^7}= \frac{1}{x^6}\]

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1Thank you for taking away 40 minutes of my time that I needed.

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1This question should of taken less then 5 minutes to solve.

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1Thank you for explaining things. But I did not need that. All I needed was a refresher. Im studying for my final exam.

phi
 one year ago
Best ResponseYou've already chosen the best response.1oops \[ \frac{2}{5} \frac{1}{x^6y^2}\]

Destinyyyy
 one year ago
Best ResponseYou've already chosen the best response.1I figured that out 6 minutes ago..
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