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Mathematics 6 Online
OpenStudy (anonymous):

81^3/4

OpenStudy (anonymous):

|dw:1339125114559:dw|

OpenStudy (anonymous):

simplify...

OpenStudy (unklerhaukus):

\[81^{3/4}=81\times81^{-1/4}\]\[=81\times\frac{1}{\sqrt[4]{81}}\]\[=81\times\frac{1}{\sqrt[4]{3^4}}\]\[=81\times\frac 13\]\[=\cdots\]

OpenStudy (unklerhaukus):

or simply \[81^{3/4}=({3^4})^{3/4}=3^3=\cdots\]

OpenStudy (anonymous):

wait thats not right... 3^2 is 9... which is the square root of 81.. which is not right...

OpenStudy (anonymous):

Always remember that for these, if you can find the root first, do it first.|dw:1339125853823:dw|

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