Question

Scrieti sub forma de putere a) 2 la 22×2 la23:2 la 32 b) (3 la 3)totul la 6×9 la 2 c) (2 la 7 ×5 )totul la 14 :2 la 42+5 la 8:25 la 3 -25 la 6 ×5 la 7​

Answer 1

Răspuns:

a) și b)

$2 {}^{22} \times 2 {}^{23} \div 2 {}^{32} \\ = 2 {}^{45} \div 2 {}^{32} \\ = 2 {}^{13} \\ \\ (3 {}^{3} ) {}^{6} \times 9 {}^{2} \\ = 3 {}^{18} \times 3 {}^{4} \\ = 3 {}^{22}$

c)

$(2 {}^{7} \times 5) {}^{14} \div 2 {}^{42} + 5 {}^{8} \div {25}^{3} - {25}^{6} \times 5 {}^{7} \\ = {2}^{98} \times 5 {}^{15} \div 2 {}^{42} + 5 {}^{8} \div 5 {}^{6} - {5}^{12} \times 5 {}^{7} \\ = 2 {}^{46} \times 5 {}^{15} + 5 {}^{2} - 5 {}^{19} \\ = 5 {}^{15} (2 {}^{46 } - {5}^{3} ) + 25 \\ = {5}^{15} \times 2 {}^{46} - 5 {}^{17} \\ = 5 {}^{15} (2 {}^{46} - 25)$

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