1) 3k⁻⁴⁾⁴
2) 4,3* ⁵√(5*√(5*√5)) = 4,3*⁵√(5*√√5³) = 4,3*⁵√(5* ⁴√5³) = 4,3*⁵√(⁴√5⁷)=
=4,3*²⁰√5⁷
теперь наш пример:
(4,3* ²⁰√5⁷ + 0,7* ²⁰√5⁷) ^20/27 = (5* ²⁰√5⁷)^ 20/27 = (²⁰√(5²⁰*5⁷))^ 20/27=
=(²⁰√5²⁷)^20/27 = 5
3)числитель = ¹⁵√5 * 5 * ¹⁰√5 = 5^1/15 * 5^1 * 5^1/10 = 5^(1/15 + 1 + 1/10) = =5^35/30
5^35/30 : 5^1/6 = 5^( 35/30 - 1/6) = 5^30/30 = 5