Question

Va rog doar ex 18 !! Va rog cât de repede puteți !! :(

Answer 1

Răspuns:

$a)3 \times [ {5}^{9} \div {5}^{8} + ( {3}^{4} - {2}^{4} \times 5) {}^{2015} + {8}^{7} \div {16}^{5} ] = \\ 3 \times [5 + (81 - 16 \times 5) {}^{2015} + ( {2}^{3} ) {}^{7} \div ( {2}^{4} ) {}^{5} ] = \\ 3 \times [5 + (81 - 80) {}^{2015} + {2}^{21} \div {2}^{20} ] = \\ 3 \times (5 + {1}^{2015} + 2) = \\ 3 \times (5 + 1 + 2) = \\ 3 \times (6 + 2) = \\ 3 \times 8 = 24 \\ \\ b)( {2}^{10} - {2}^{9} ) \times ( {2}^{9} - {2}^{8} ) \times ( {2}^{8} - {2}^{7} ) \div {2}^{24} = \\ (1024 - 512) \times (512 - 256) \times (256 - 128) \div {2}^{24} = \\ 512 \times 256 \times 128 \div {2}^{24} = \\ {2}^{9} \times {2}^{8} \times {2}^{7} \div {2}^{24} = \\ {2}^{17} \times {2}^{7} \div {2}^{24} = \\ {2}^{24} \div {2}^{24} = {2}^{0} = 1$

Sper că te-am ajutat!