a^m*a^n = a^(m+n)
a^m/a^n = a^(m-n)
ⁿ√a^m = a^(m/n)
⁴⁶√3*¹⁶√3 / ¹²√3 = 3^(1/46 + 1/16 - 1/12) = 3^1/1104 = ¹¹⁰⁴√3
1/16 - 1/12 = 3/48 - 4/48 = - 1/48
1/46 - 1/48 = 1/2 *(1/23 - 1/24) = 1/2 * 1/ 552 = 1/1104
Ответ 3^1 /1104
Решенре во вложении
Copyright © 2024 SCHOLAR.TIPS - All rights reserved.
Answers & Comments
a^m*a^n = a^(m+n)
a^m/a^n = a^(m-n)
ⁿ√a^m = a^(m/n)
⁴⁶√3*¹⁶√3 / ¹²√3 = 3^(1/46 + 1/16 - 1/12) = 3^1/1104 = ¹¹⁰⁴√3
1/16 - 1/12 = 3/48 - 4/48 = - 1/48
1/46 - 1/48 = 1/2 *(1/23 - 1/24) = 1/2 * 1/ 552 = 1/1104
Verified answer
Ответ 3^1 /1104
Решенре во вложении