1) 16^(2/3) : 16^(1/6) = 4 : 2 = 2
2) (27/64)^(1/3) = 3/4
3) 4√40 2^(1/4) : 5^(-3/4)= 2√10 √2 : 5^3= √20 √2 : 125= √40 : 125= 2√10 : 125= 2/125 10^(1/2)= 2√10 / 125
4) (9/16)^(1/2) + (2/3)^(-1)= 3/4 + 3/2= 2
5) (1/8 125^(-1)) = (1/8) (1/125) = 1/1000
1) 16^(2/3) : 16^(1/6) = 4 : 2 = 2
2) (27/64)^(1/3) = 3/4
3) 4√40 2^(1/4) : 5^(-3/4)
= 2√10 √2 : 5^3
= √20 √2 : 125
= √40 : 125
= 2√10 : 125
= 2/125 10^(1/2)
= 2√10 / 125
4) (9/16)^(1/2) + (2/3)^(-1)
= 3/4 + 3/2
= 2
5) (1/8 125^(-1)) = (1/8) (1/125) = 1/1000