Matematică
pisic23
2015-11-14 13:33:00
Efectueaza apoi determina {x} daca x=2,(3)+{(-2/3) la puterea -2} totul la puterea 1002•(-4/9) la puterea 1001
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cristian2133cris
2015-11-14 16:56:29

[latex]x=2frac{3}{9}-[(-frac{2}{3})^{-2}]^{1002}cdot(-frac{4}{9}^{1001}=\ 2frac{1}{3}-[(-frac{3}{2})^2]^{1002}cdot (-frac{4}{9})^{1001}=\ 2frac{1}{3}-(frac{9}{4})^{1002}cdot(-frac{4}{9})^{1001}=\ 2frac{1}{3}+(frac{9}{4})^{1002}cdot(frac{4}{9})^{1001}=\ 2frac{1}{3}+frac{9}{4}cdot(frac{9}{4}cdotfrac{4}{9})^{1001}=\ 2frac{1}{3}+frac{9}{4}=2^{4)}frac{1}{3}+2^{3)}frac{1}{4}=4frac{7}{12}\ {x}=frac{7}{12}=0,58(3) [/latex]

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