Odpowiedź:
1.
a)
∛(1/8 * 125) = 1/2 * 5 = 5/2 = 2 1/2
b)
∛27000 = 30
c)
∛(8*27*64) = 2 * 3 * 4 = 6 * 4 = 24
d)
∛(15,625 * 3 3/8) = 2,5∛27/8 = 2,5 * 3/2 = 2,5 * 1,5 = 3.75
2.
a)
∛3 * ∛9 = ∛27 = 3
b)
∛4 * ∛-250) = ∛-1000 = -10
c)
∛2 * ∛32 = ∛64 = 4
d)
∛1/3 * ∛375 = ∛∛125 = 5
e)
∛4 * ∛-6 * ∛9 = ∛-24 * ∛9 = ∛-216 = -6
f)
∛4 * ∛10 * ∛25 = ∛4 * ∛250 = ∛1000 = 10
g)
∛1/2 * ∛2/3 * ∛3/8 = ∛(1/2*2/3*3/8) = ∛1/8 = 11/2
h)
∛0,25 * ∛1/6 * ∛8/9 = ∛(1/4*1/6*8/9) = ∛(1/3*1/9) = ∛1/27 = 1/3
3.
a)
∛0,064 * ∛1000 = 0,4 * 10 = 4
b)
∛125/216 * ∛-0,008 = 5/6 * (-0,2) = -5/6 * 1/5 = -1/6
c)
∛-8/729 * ∛729 = ∛(-8/729*729) = ∛-8 = -2
d)
[∛(√64)²]³ = (∛64)³ = 64
e)
∛-125/1728 : ∛1000/216 = -5∛(1/1728*216/1000) = -5∛(1/8*1/1000) =
= -5 * 1/2 * 1/10 = -1/4
f)
∛[-0,001 : (-27/64)] = 0,1 * 4/3 = 1/10 * 4/3 = 1/5 * 2/3 = 2/15
Szczegółowe wyjaśnienie:
