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calculusxy
 one year ago
exponents...
calculusxy
 one year ago
exponents...

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

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0Answer: \[\large \frac{ y^{14} }{ 2x^{14} }\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1\[(x^4y^{2})^{3} \iff \frac{1}{(x^4y^{3})^3}\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1\[\dfrac{\dfrac{1}{(x^4y^{3})^3}}{2x^{2}y^2x^4}\]

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ y^4 }{ 2x^{14} }\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Did you need help solving it or just checking to see if it was correct?

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1\[\dfrac{\dfrac{1}{(x^4y^{3})^3}}{2x^{2}y^2x^4} = \dfrac{\dfrac{1}{x^{12}y^{9}}}{2x^{2}y^2x^4} =\frac{1}{2x^{122+4}y^{9+2}}=\frac{1}{2x^{14}y^{7}}=\frac{y^{7}}{2x^{14}} \]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Youve asked a similar question like this before. Hope this method makes sense to you.

calculusxy
 one year ago
Best ResponseYou've already chosen the best response.0here's my way: \[\frac{ (x^4y^{2})^{3} }{ 2x^{2}y^2x^4 } = \frac{ x^{12}y^6 }{ 2x^2y^2 } = \frac{ y^4 }{ 2x^{14} }\]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1hmm... somehow i miscalculated the \(y\)

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1trial 2: \[\begin{align}\frac{ (x^4y^{2})^{3} }{ 2x^{2}y^2x^4 } &= \dfrac{\dfrac{1}{\left(\dfrac{x^4}{y^2}\right)^3}}{2x^{2}y^2x^4} \\&= \dfrac{\dfrac{1}{x^{12}y^{6}}}{2x^{2}y^2x^4} \\&=\dfrac{\dfrac{1}{x^{12}y^{6}}}{2x^{2}y^2} \\ &=\dfrac{1}{(x^{12}y^{6})(2x^2y^2)} \\&= \frac{1}{x^{12+2}y^{6+2}} \\&= \color{red}{\frac{y^4}{x^{14}}}\end{align} \]

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Sorry Im not that great at simplifying exponents :\

Jhannybean
 one year ago
Best ResponseYou've already chosen the best response.1Typo again! I forgot the 2. \[\frac{y^4}{2x^{14}}\]
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