Odpowiedź:
[tex]\frac{27^{9} - 3 * 9^{11}}{81^{5} / 9^{11}} = \frac{(3^{3})^{9}-3 * (3^{2})^{11}}{(3^{4})^{5} / (3^{2})^{11}} = \frac{3^{27} - 3 * 3^{22}}{3^{20}/3^{22}} = \frac{3^{-2}(3^{29} - 3^{25})} {3^{-2}} =[/tex]
[tex]= 3^{29} - 3^{25} = 3^{25}(3^{4} - 3^{0}) = 3^{25}(81 - 1) = 3^{25} * 80[/tex]
Odp. D. 3²⁵ * 80
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Odpowiedź:
[tex]\frac{27^{9} - 3 * 9^{11}}{81^{5} / 9^{11}} = \frac{(3^{3})^{9}-3 * (3^{2})^{11}}{(3^{4})^{5} / (3^{2})^{11}} = \frac{3^{27} - 3 * 3^{22}}{3^{20}/3^{22}} = \frac{3^{-2}(3^{29} - 3^{25})} {3^{-2}} =[/tex]
[tex]= 3^{29} - 3^{25} = 3^{25}(3^{4} - 3^{0}) = 3^{25}(81 - 1) = 3^{25} * 80[/tex]
Odp. D. 3²⁵ * 80