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 one year ago
i'm really feeling like an idiot. i completely forgot how to do this. can someone refresh my memory?
 one year ago
i'm really feeling like an idiot. i completely forgot how to do this. can someone refresh my memory?

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ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.3\[\large b^{n/a}=\sqrt[a]{b^n}\]

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.3Yeah, but because that's a negative, I think you should put a \(\large \sqrt[3]{216^{2}}\)

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.3Remember this guy?\[\large a^{n} = \dfrac{1}{a^n}\]

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.3Yes, and now find the cube root of that thing.

chihiroasleaf
 one year ago
Best ResponseYou've already chosen the best response.0use this \[a ^{n}=\frac{ 1 }{a ^{n} }\]

agent0smith
 one year ago
Best ResponseYou've already chosen the best response.0\[216^{\frac{ 2 }{ 3 }} = \frac{ 1 }{216^{\frac{ 2 }{ 3 }} } = \frac{ 1 }{ \sqrt[3]{216^{2}}} \]

agent0smith
 one year ago
Best ResponseYou've already chosen the best response.0Easier to think of it that way

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.3here:\[\sqrt[3]{\dfrac{a}{b}} = \dfrac{\sqrt[3]{a}}{\sqrt[3]{b}}\]I know I am smashing you with too many properties :P

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.3An easier way to think about it is to find the cube root of the numerator and the denominator separately

agent0smith
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ 1 }{216^{\frac{ 2 }{ 3 }} } = \frac{ 1 }{ \left( 216^\frac{ 1 }{ 3 } \right)^2} = \frac{ 1 }{ \sqrt[3]{216^{2}}}\]

ParthKohli
 one year ago
Best ResponseYou've already chosen the best response.3To make some stuff simpler,\[\dfrac{1}{\sqrt[3]{(6^3)^2}} = \dfrac{1}{\sqrt[3]{(6^2)^3}}\]

agent0smith
 one year ago
Best ResponseYou've already chosen the best response.0Probably easier to find the cube root of 216, THEN square it, than square 216, then find it's cube root... both methods yield the same answer.
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