Simplifique a expressão a seguir, aplicando as propriedades da potência:
A)81
B)-9
C)1/81
D)9
E)1/9
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![\{[( \frac{3^2.3^{-2}.3^8}{3^4.3^{-2}.3^5} )]^{-1}\}^2= \\ \\ \{[( \frac{ 3^{2-2+8} }{ 3^{4-2+5} } )]^{-1}\}^2= \\ \\ ( \frac{3^8}{3^7} )^{-2}= \\ \\ ( 3^{8-7} )^{-2}= \\ \\ 3^{-2}= \frac{1}{3^2} = \frac{1}{9} ~~~letra~~~E](https://tex.z-dn.net/?f=%5C%7B%5B%28+%5Cfrac%7B3%5E2.3%5E%7B-2%7D.3%5E8%7D%7B3%5E4.3%5E%7B-2%7D.3%5E5%7D+%29%5D%5E%7B-1%7D%5C%7D%5E2%3D+%5C%5C++%5C%5C+%5C%7B%5B%28+%5Cfrac%7B+3%5E%7B2-2%2B8%7D+%7D%7B+3%5E%7B4-2%2B5%7D+%7D+%29%5D%5E%7B-1%7D%5C%7D%5E2%3D+%5C%5C++%5C%5C+%28++%5Cfrac%7B3%5E8%7D%7B3%5E7%7D++%29%5E%7B-2%7D%3D+%5C%5C++%5C%5C+%28+3%5E%7B8-7%7D+%29%5E%7B-2%7D%3D+%5C%5C++%5C%5C++3%5E%7B-2%7D%3D+%5Cfrac%7B1%7D%7B3%5E2%7D+%3D+%5Cfrac%7B1%7D%7B9%7D+%7E%7E%7Eletra%7E%7E%7EE "\{[( \frac{3^2.3^{-2}.3^8}{3^4.3^{-2}.3^5} )]^{-1}\}^2= \\ \\ \{[( \frac{ 3^{2-2+8} }{ 3^{4-2+5} } )]^{-1}\}^2= \\ \\ ( \frac{3^8}{3^7} )^{-2}= \\ \\ ( 3^{8-7} )^{-2}= \\ \\ 3^{-2}= \frac{1}{3^2} = \frac{1}{9} ~~~letra~~~E")
kjmaneiro:
Valeu!!!!
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