Question

Calculati si scrieti rezultatul ca o singura putere: C)2↑15 · 4↑12 · 8↑6 f)2↑15 · 10 + 2↑16 + 2↑17 . Va rog sa ma ajutati.

Answer 1

c)

$2^{15} * 4^{12} * 8^{6} =\\2^{15} *2^{2*12} *2^{3*6} \\2^{15} *2^{24} *2^{18} =  2^{15+24+18} =2^{57}$

f) 2^{15*10} +2^{16} +2^{17}  

$2^{15}*10 +2^{16} + 2^{17} \\(10+2+2^{2})* 2^{15}$    (descompunem expresia in factori)

$(10+2+4)*2^{15} \\16*2^{15} \\2^{4}* 2^{15} =2^{19}$