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anonymous
 5 years ago
simplify complex fractions:
anonymous
 5 years ago
simplify complex fractions:

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0complex as in with the imaginary "i"?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0all you need to know is i^2 = 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0no mutiplying and dividing rational expressions \[(x^3y^2z)/(a^2b^2)/(a^3x^2y)/(b^2)\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0where the slash is its written like a fraction

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0So what is over what here?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0stack the parenthisis up ontop of each other where it looks like a fraction with things. idk how to punch it in on here were it looks like it does on my worksheet

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0you can use // to mean the main divider bar between them, or some other version like */* just explain the symbol :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0From what it looks like, I would assume it's like a rational expression over another. Correct?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yes rational expressions

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0basic strategy as with all fraction on fraction math is to turn the bottom one upside down and multiply across... 1/5 // 6/3 = 1/5 * 3/6 = 3/30

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but when its all letters and exponets how do you do it

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0you mean the multiply part? or the flipping part?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the multiply part. flipping i get now but idk what to do with the letters

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0make it easier on yourself and split them up... a^4 means aaaa c^2 mean cc r^7 means rrrrrrr

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0now, x^3 times x^4 means xxx xxxx = xxxxxxx = x^7

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0c^4 times c^5 means cccc ccccc = ccccccccc = c^9

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yea i get the x^4 means xxxx but what about x^3y^2z

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0xxx yy z is all that is

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0squish em all together, then count them back out again....

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0what your confusing me

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0a/x = a* 1/x, therefore \[(x ^{3}y ^{2}z)/(a ^{2}b ^{2})/(a ^{2} x ^{2} y)/(b ^{2})] = \[(x ^{3} y ^{2} z)/(a ^{2} b2) * 1/(a ^{2} x ^{2} y)/(b ^{2})] = \[(x ^{3} y ^{2} z)/(a ^{2} b ^{2})*(b^{2})/(a ^{2} x ^{2} y)\]

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0xxx yy z bb  x  aa bb aaa xx y

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0anything that is the same on the top and bottom can be tossed out, it just means it equals 1. x y z 1 x y z xyz  x  =  =  aa aaa aaaaa a^5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0still not makin a whole lota sense

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0which part is not making sense?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i flipped it, you said thatpart you understood.... whats left?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Does: xx y bb  = 1? xx y bb

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the whole thing. its a fraction placed ontop on a fraction saying simplify. like am i supposed to add the exponets together, flip them and multiply, or flip and divide

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0flip the bottom, thats always the first step. split the exponents up so you can see what you got whatever is the same from top to bottom cancels out to 1 squish the rest together and number them again with an exponent.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lets keep it simpler, how would I start this? x^2/y^3 // y/x^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0flip it and take away the x^2 and just leave it as xy^3/xy i think

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0one step at a time, dont rush ahead... lets flip the bottom x^2 x^2  *  now what do I do? y^3 y

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0oh wait y^3 x y  x^2 x^2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0you let me worry about making it look good on the screen, just tell me what we do next...

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0I already flipped it, x^2 x^2  *  now what do I do? y^3 y

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i want to say crossmultiply

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but thats usually not with letter

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we do that if there is an (=) between them, there is no (=) here so we dont "cross" multilply, we just multiply straight across

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok just add the exponets together

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0>> x^2 x^2 x^2 x^2  *  =  y^3 y y^3 y >> does this look right to you?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0not really shouldnt it be x^3/y^4

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0not yet.... but does the setup look right? did I multiply it across correctly?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0now lets add exponents to get the final result x^2 x^2 x^(2+2) x^4  =  =  y^2 y y^(2+1) y^4

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.02+1 = 3... sorry, forgot how to add :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that looks more like it

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0so lets try your original problem and see if we can step thru it ok?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x^3 y^2 z  a^2 b^2  a^3 x^2 y  b^2 our first step is to do what?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0im working it on a sheet of paper and the first thing i did was put the bottom fraction beside it and put a division sign between them

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0ok.... x^3 y^2 z a^3 x^2 y  /  a^2 b^2 b^2 now what?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0um flip the entire thing upside down or add the exponets

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0only flip the right side fraction... not the "whole" problem....JUST that right side gets flipped. right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0just like this.... x^3 y^2 z b^2   a^2 b^2 a^3 x^2 y

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yea then add the exponets together

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0what do you mean by add the exponents together? that is not really something that needs to be done just yet. Look at the top and the bottom of this oversized fraction and see if we can cross out stuff that looks the same.

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0lets "line" things up from top to bottom....are we allowed to do that?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0line things up idk what your talking about

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0I am going to move the stuff around so that it looks better. Like this..... x^3 y^2 z b^2  x^2 y a^2 a^3 b^2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0what can you see that we can "get rid of" that is the same from the top and the bottom?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0um on the bottom combine the a^2 and a^3 together to get a^5

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0good we can do that... x^3 y^2 z b^2  x^2 y a^5 b^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0can we also combine the x^3 and x^2 or not since there on seperate parts of the equation

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we cant "add" them together but watch this: xx x  = what? xx

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0no....not quite. do you remember that anything when placed over itself is equal to 1? 2  = 1 2 6m  = 1 6m xx  = 1 xx

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0this is a fundamental concept in math. whenever we "divide" a number by itself we get an answer of 1 1  8  8 right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i guess but i dont particularly see how that would work in this type of problem

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0all fractions are is division. what is 1 divided by 2 = 1/2 3 divided by 5 = 3/5 15 divided by 5 = 15/5 all fractions are division......

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0when we divide a number by itself we get 1 9 divided by 9 = 9/9 = 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0but in this case were dividing x^3/ x^2

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0exactly :) which is why I like to split it up so that you can "see" what is going on with exponents. x x x xx x  =   = 1x = x x x xx 1

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so like that i can just "get rid of" the x part in the equation

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0not the whole thing... but you can get rid of alot of x s how many x's do I have left in my solution up there?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0the x^3 and the x^2 so 5 i think

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x x x xx x  =   = 1x = x x x xx 1 ^ how many x's do I have right here?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0then we are left with 1 lonely little x that we have to leave in this equation.... right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0you know already that we we multiply exponents we "add" then together. When we do the opposite of multiplication (which is division) we do the opposite to the exponents too. we "SUBTRACT them. x^3/x^2 = x^(32) = x^1 = x

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so how do we plug this one lonely x into the equation

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0we just put it back were we got it from :) like this: x y^2 z b^2  y a^5 b^2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok what next. same thing to the b^2s

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0yep, that would be good. b^2/b^2 is division.... so we SUBTRACT exponents. b^(22) = b^0 = 1 which just disappears

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0ok so the b is just slapped onto the end of the top part of the equation without the exponent on it

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0there is no b to put back if b^3 means bbb and b^1 means b b^0 means _______ no little b's to do anything with, zero b's, they are gone......

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so on the actual equation after this last part the b will be no more

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0thats correct, they vanished...... x y^2 z  now whats left to work with? y a^5

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0very good :) so, can you show me how we work that out?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0y^2/y^19(which is just nothing) subtract them and it leaves y

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0x y z  we appear to have come to the end :) a^5

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0that 9 wasnt supposed to be there my finger sliped off the shift button when i hit the paraenthasis

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0weird stinkin keyboards

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0i start getting so many typos it looks like im having a stroke......

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0back during the first of march i was in germany on a school junior senior trip and their keyboard was all kinds of weird

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0Yep different places have different setups for their own uses. But this is the answer to our original problem.... x y z  a^5

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0I just want to go over one little detail.....

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.0when dividing with exponents, it is important to notice where the biggest one is. For example: x^3/x^2 has the bigger number on top, so our answer goes back on top. BUT if the bottom has the bigger exponent, our answer will go back on the bottom. for example: x^2/x^7 has the bottom bigger than the top, we subtract like before but when were done our leftovers go on the bottom. Does that make sense?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yea location of the bigger exponet is where the outcome of the division goes

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you so much if i have anymore questions ill just post them up and maybe be able to catch ya
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