Question

как сравнить 6 в степени 14 с произведением 2 в степени 16 и 3 в степени 12

Answer 1

${2}^{16} times {3}^{12} = {2}^{4} times {2}^{12} times {3}^{12} = {2}^{4} times {6}^{12} = \ = 16 times {6}^{12} \ \ {6}^{14} = {6}^{2} times {6}^{12} = 36 times {6}^{12} > 16 times {6}^{12} \ \ {2}^{16} times {3}^{12} < {6}^{14}$

Answer 2

2¹⁴ * 3¹² = 2²*2¹²*3¹² = 4*6¹²

вывод: 6¹⁴ < 4*6¹²