Jamierox4ev3r
  • Jamierox4ev3r
Reviewing some math basics before I start college. I'm unsure of a few things, so please check my work as I go. Thank you. First question: 2c. Simplify the following expression. Write your answer without negative exponents.
Mathematics
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
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Jamierox4ev3r
  • Jamierox4ev3r
Give me some time to type out the expression, thanks.
Jamierox4ev3r
  • Jamierox4ev3r
\[\left( \frac{ 3x ^{\frac{ 3 }{ 2 }}y ^{3} }{ x ^{2} y ^{-\frac{ 1 }{ 2 }}} \right)^{-2}\]
Jamierox4ev3r
  • Jamierox4ev3r
oh my goodness that was a heck of an expression to get out. So far, what I've done is this: \[\left( \frac{ x ^{2}y ^{-\frac{ 1 }{ 2 }} }{ 3x ^{\frac{ 3 }{ 2 }} y ^{3}} \right)^{2}\] basically, I got ride of the negative 2 exponent by flipping the fraction around. If this was an incorrect thing to do, someone let me know now. My recollection of algebra rules is a bit foggy

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Jamierox4ev3r
  • Jamierox4ev3r
any idea? @Nnesha
Nnesha
  • Nnesha
wait lol :P
Jamierox4ev3r
  • Jamierox4ev3r
alright :P thanks
Nnesha
  • Nnesha
alright back
Nnesha
  • Nnesha
sorry abt that i need to buy a new laptop >.< i'm just gonna use draw tool |dw:1440364115001:dw| but i'm sure we will get the same answer :=) yes
Jamierox4ev3r
  • Jamierox4ev3r
lol nice xD \(\LaTeX\) is complicated stuffs
Nnesha
  • Nnesha
that's the same thing as this \[\left( \frac{ x ^{2}y ^{-\frac{ 1 }{ 2 }} }{ 3x ^{\frac{ 3 }{ 2 }} y ^{3}} \right)^{2}\] so yes your first step is right wanna try next step :=)
Nnesha
  • Nnesha
this is the 3rd time i was about to use equation tool but my laptop turned off so i'm like ugghh
Jamierox4ev3r
  • Jamierox4ev3r
Sure. Here is what I think I should do next Distribute the 2 exponent. So I would get this: \[ \frac{ x ^{4} y ^{-1}}{ 9x ^{3}y ^{6} }\\]
Jamierox4ev3r
  • Jamierox4ev3r
oh man xD let me try that again \(\Large\frac{x^{4} y^{-1}}{9x^{3}y^{6}}\)
Nnesha
  • Nnesha
yes that's right ! doing great so far!
Jamierox4ev3r
  • Jamierox4ev3r
There we go! and :oo I did correct things! Yay me cx
Jamierox4ev3r
  • Jamierox4ev3r
Kinda confused from there, but if I recall correctly, then I would simplify as follows: \(\Large\frac{xy^{-7}}{9}\)
Jamierox4ev3r
  • Jamierox4ev3r
would that be a correct way of simplifying?
Nnesha
  • Nnesha
perfect!
Nnesha
  • Nnesha
one more step!
Jamierox4ev3r
  • Jamierox4ev3r
wao! alright I wasn't even sure if that was correct XD So last of all, I assume that since we don't want any negative exponents for the final simplified form, we would put the y in the denominator in order to eliminate the negative exponent. It would look like this: \(\Large\frac{x}{9y^{7}}\)
Jamierox4ev3r
  • Jamierox4ev3r
and I'm assuming that I have arrived at the final answer
Jamierox4ev3r
  • Jamierox4ev3r
...I think
Nnesha
  • Nnesha
YAY!!
Nnesha
  • Nnesha
that's it!
Jamierox4ev3r
  • Jamierox4ev3r
It's right? :o
Jamierox4ev3r
  • Jamierox4ev3r
YES!
Jamierox4ev3r
  • Jamierox4ev3r
oh my gosh, I didn't think I remembered any of this algebra, it's been almost 3 long years since I've done this stuff. Thank you so much <33
Nnesha
  • Nnesha
eh i didn't do anything :/ you posted this question to tell me how SMART you are :(
Nnesha
  • Nnesha
hahh jk you gonna get A+ good luck wth ur college stuff!
Jamierox4ev3r
  • Jamierox4ev3r
Thank you so so much XD I didn't know if I was heading in the right direction to be honest, in my textbook, there's no answer key for any of the review. So I just tried things and crossed my fingers lol. Thanks for helping me make sure that I was doing the right thing.
Nnesha
  • Nnesha
my pleasure! <3
triciaal
  • triciaal
all the best with college. be confident relax and ask for help when you really need it .
Jamierox4ev3r
  • Jamierox4ev3r
@triciaal thank you so much! I really appreciate it. I'm pretty nervous to begin college honestly, but reviewing early concepts is a good way to prep. for the higher math courses that I'm going to be taking in the extremely near future. To be precise, in two days! Thank you for you advice, I will make sure I ask for help whenever I need it and do my best to always remain confident in my abilities.

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