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Mathematics 17 Online
OpenStudy (anonymous):

@pgpilot326

OpenStudy (anonymous):

\[\sqrt[3]{\frac{ 1 }{ x ^{-6} }}\]

OpenStudy (anonymous):

thats a 3 and -6 if you cant see it

OpenStudy (anonymous):

\[\sqrt[3]{x ^{-6}}\]

OpenStudy (anonymous):

then divide -6 by 3?

OpenStudy (anonymous):

\[\sqrt[3]{\frac{ 1 }{ x^{-6} }}=\sqrt[3]{x^6}=\large{x^{\frac{ 6 }{ 3 }}}=x^2\]

OpenStudy (anonymous):

when you put the negative exponent as the numorator is becomes positive?

OpenStudy (anonymous):

yes... \[x^{-n}=\frac{ 1 }{ x^n } \text{ and } \frac{ 1 }{ x^{-n} }=x^n\]

OpenStudy (anonymous):

ahh alright thanks

OpenStudy (anonymous):

@jagr2713 i think this was simpler than how krop explained it to you and he got the same answer

jagr2713 (jagr2713):

yea thx

OpenStudy (anonymous):

you're welcome thanks @pgpilot326 for helping

OpenStudy (anonymous):

do you understand why \[x^{-n} = \frac{ 1 }{ x^n }\]

OpenStudy (anonymous):

i dont understand why is it because exponents can't be negative?

OpenStudy (anonymous):

|dw:1406231015789:dw|can you fill this in?

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