Question

daca 2⁶x4⁷x8⁸=2 la puterea n
cât este n?​

Answer 1

Răspuns:

2⁶x4⁷x8⁸=2ⁿ

2⁶·(2²)⁷·(2³)⁸=2ⁿ

2⁶·2¹⁴·2²⁴=2ⁿ

2⁶⁺¹⁴⁺²⁴=2ⁿ

n=44

Answer 2

Răspuns:

44

Explicație pas cu pas:

${2}^{6} \times {4}^{7} \times {8}^{8} = {2}^{n} \\ {2}^{6} \times {( {2}^{2} )}^{7} \times {( {2}^{3} )}^{8} = {2}^{n} \\ {2}^{6} \times {2}^{14} \times {2}^{24} = {2}^{n} \\ {2}^{6 + 14 + 24} = {2}^{n} \\ {2}^{44} = {2}^{n} \implies n = 44$