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tootsi123
 one year ago
How would i work this problem....
zy^6/z^7y^5
@Hero
tootsi123
 one year ago
How would i work this problem.... zy^6/z^7y^5 @Hero

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you apply laws for exponents

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0what exactly are those laws??

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440102893950:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0the z up top is really \(\Large z^1\) dw:1440102934841:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440102979430:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0the exponent law sourwing is referring to is this \[\LARGE \frac{x^a}{x^b} = x^{ab}\] if the bases are both the same, then you subtract the exponents

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0so for example, focus on just the y terms dw:1440103051004:dw the exponents are 6 and 5. Subtract to get 65 = 1 that means \[\Large \frac{y^6}{y^5} = y^{65} = y^1 = y\] you'll do the same for the z terms as well

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0dw:1440102880698:dw is that right

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0very good, so you have \[\Large z^{6}y\]

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0Okay that makes a little more sense. :)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0optionally the negative exponent can be made positive using this rule \[\Large x^{k} = \frac{1}{x^k}\] so \[\Large z^{6}y = \frac{1}{z^6}y = \frac{y}{z^6}\] again, this is optional since some books I've seen want you to rewrite with positive exponents

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0So if you want it to be positive you put the negative on the bottom?

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.0so we are given \[ \frac{ zy^6 }{ z^7 y^5 } \] we know that \[\frac{ a^x }{a^y } = a^(xy)\] so we get\[\frac{ zy^6 }{ z^7 y^5}>z^{17} y ^{65}\] \[z ^{6} y\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.0`So if you want it to be positive you put the negative on the bottom?` I'm not sure what you mean, but I think you mean to just flip the fraction to make the exponent positive. Right?

tootsi123
 one year ago
Best ResponseYou've already chosen the best response.0yeah thats what i mean

imqwerty
 one year ago
Best ResponseYou've already chosen the best response.0welcome :) u mean that  if u got \[z ^{2}\]then to make the power negative u can write it as \[\frac{ 1 }{z ^{2}}\]correct?
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