1) 343^(2㏒₄₉2)=(7³)^(2㏒₇²2)=7^(3*2*1/2㏒₇2)=7^㏒₇ 2³=2³=8
2) 4^(2㏒₃₂10)=(2²)^(2㏒₂⁵10)=2^(4*1/5㏒₂10)=2^(4/5 ㏒₂10)=10^(⁴/₅)
3) √5=5^(¹/₂)
(5^(¹/₂))^2㏒₅3=5^㏒₅3=3
4) 9^2㏒₂₇√5 = (3²)^2㏒₂₇√5 = 3^4㏒₃³ 5^(¹/₂)= 3^4*1/2*1/3*㏒₃5 =
=3^2/3㏒₃5=5^(2/3) =∛25
5) (1/27)^㏒₁/₉4= ((1/3)³)^1/2㏒₁/₃4=(1/3)^(3*1/2*㏒₁/₃4)=(1/3)^㏒₁/₃4^(³/₂)=
= 4^³/₂=√4³=√64=8
6) 4^㏒₈125=(2²)^㏒₂³5³=2^2㏒₂³5³=2^2㏒₂5=2^㏒₂5²= 25