Question

9. Calculați: 27²+3×[(3⁷)⁹: 3³⁰ +3×3²⁷-3³³]: 9¹³
Vă rog repede!​

Answer 1

$\displaystyle 27^2+3 \times \Big[\Big(3^7\Big)^9:3^{30}+3\times 3^{27}-3^{33}\Big]:9^{13}=\\\\=\Big(3^3\Big)^2+3 \times \Big(3^{63}:3^{30}+3\times 3^{27}-3^{33}\Big):\Big(3^2\Big)^{13}=\\\\=3^6+3\times \Big(3^{63-30}+3^{1+27}-3^{33}\Big):3^{26}=3^6+3\times\Big(3^{33}+3^{28}-3^{33}\Big):3^{26}=\\\\=3^6+3 \times 3^{28}:3^{26}=3^6+3^{1+28-26}=3^6+3^3=729+27=756$