Question

Exercitiile 5 pct b; 6 pct b; 7 pct b.

Answer 1

5b)
3^(3/2) x (3³)^1/2 x 3^(4/5) x (3²)^(-4/10) = 3^(3/2 + 3/2 + 4/5 - 4/5) = 3^(6/2) = 3³

6b)
(2/3)^(7/5) : [(2/3)²]^(1/5) : (3/2)³ = (2/3)^(7/5 - 2/5) : (2/3)^(-3) = (2/3)^(5/5 + 3) =
= (2/3)^4 = 16/81

7b)
(1/10)^(1/3) x (1/100)^(1/2) x (1/1000)^(1/4) = (1/10)^(1/3) x (1/10)(2x1/2) x (1/10)^(3 x 1/4) = (1/10)^(1/3 + 1 + 3/4) = (1/10)^(4/12 + 12/12 + 9/12) =
= (1/10)^(25/12)