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calculusxy
 one year ago
Help with exponents!
Question attached below...
calculusxy
 one year ago
Help with exponents! Question attached below...

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calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0\[\large (\frac{ 3n }{ 5m^{3} })^2 (\frac{ 3m^4 }{ 2n^2 })^{3}\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0@jim_thompson5910 @Nnesha @satellite73

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0you want to work inside first or outside first?

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0I don't know... anything is fine as long as i get a correct solution

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok lets take care of the outside exponents first, not that it matter

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\large (\frac{ 3n }{ 5m^{3} })^2 (\frac{ 3m^4 }{ 2n^2 })^{3}\]multiply each exponent in the first parentheses by 2, in the second by \(3\)

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0\[(\frac{ a^2b }{ b^{3}c^4 })^2 > \frac{ a^6b^3 }{ b^{9}c^{12} }\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0i meant to say (a^3)^2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0your question has m and n in it, not a and b

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0oh god.. i wrote the wrong question.. wait a minute . (sorry)

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge (\frac{ a^2b^3 }{ b^{3}c^4 })(a^{3}b)^{2}\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0The first parenthesis is raised to the third power.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0second one is \[\huge a^6b^{2}=\frac{a^6}{b^2}\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0and the b doesn't have the third power...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0is that part ok? multiplied each exponent by \(2\)

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0the whole fraction is raised to the power of three.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you post a screen shot?

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0\[\huge (\frac{ a^2b }{ b^{3}c^4 })^3(a^{3}b)^{2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0multiply each exponent in the first parentheses by 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0correct, minus the typo

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[(\frac{ a^2b }{ b^{3}c^4 })^3 \to \frac{ a^6b^3 }{ b^{9}c^{12} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now before we mess with the second part, lets clean this up first

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the exponent of \(9\) in the denominator brings the term up to the numerator, adding the exponetns makes this \[\large \frac{a^6b^{12}}{c^{12}}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0next term is \[(a^{3}b)^{2}\] multiply each exponent by \(2\) get \[\large a^6b^{2}\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 1 }{ a^{6}b^2 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0on no don't introduce a negative exponent, leave it be

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we got \[\large \frac{a^6b^{12}}{c^{12}}\times a^6b^{2}\] add up the exponents to finish it

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0but since the exponent is negative doesn't it let the base become it's reciprocal?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok lets back a second and look at \[a^6b^{2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the exponent that is negative is attached to the \(b\) only

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0no it's the whole expression including the a^3 and b

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if for some reason you want to write this with positive exponents only, it would be \[\large a^6b^{2}=\frac{a^6}{b^2}\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0since the whole thing has a parenthesis around it and there is a 2 as the exponent.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes it was \[\large (a^{3}b)^{2}\] right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok so you COULD write this as \[\frac{1}{(a^{3}b)^2}\] but you do not need to or want to

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0but my teacher preferred for us to go this way, and that's why i feel comfortable using it.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what you want to do is multiply each exponent by \(2\) to get \[\large a^6b^{2}\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0than multiplying that by the first part is easy add the exponents

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if you do it the way your teacher likes you will get the same thing because \[\frac{1}{(a^{3}b)^2}=\frac{1}{a^{6}b^2}=\frac{a^6}{b^2}\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0i just want to know if my final answer is correct or not: a^12c^12b^10

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the c is in the denominator right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0if you want to write it in one line it should be \[a^{12}b^{10}c^{12}\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0i prefer the fraction way... but thanks for the "one line" thing

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0and i just want to make sure my answer for another question as well.

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0\[\large (5x^3y^{3})^{2}(2x^5y^{4})^{3} = \frac{ y^18 }{ 200x^{21} }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0not to make light of this but it is really just bookkeping right? \[(3)(2)+(4)(3)=6+12=18\] for example

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0THANK YOU FOR YOUR HELP!
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