Question

1. Uzupełnij :
A) ∛8000 = ......, bo ..... ³ = 8000
b) ∛729= ...., bo ....³=729
2. Oblicz.
a) (1 ¼)³ = (⁵/₄)³=
b) (1 ½)⁴=
c) (2 ¹/₃)⁴=
d) √2 i ⁷/₉=
e) √ 5 i ¹/₁₆=

Answer 1

1.
A. 20
B.9
2.
a) 125/64 = 1 i 61/64
b)81/8 = 10 i 1/8
c) (2 ¹/₃)⁴= 2401/81= 29 i 2/81
d) √2 i ⁷/₉=5/3=1 i 2/3
e) √ 5 i ¹/₁₆= 9/4

Answer 2

1.
∛8000 =20, bo 20³=8000
∛729=9, bo 9³=729

2.
a) (1 ¼)³ = (⁵/₄)³=125/64=1 i 61/64
b) (1 ½)⁴=(3/2)⁴=81/16=5 i 1/16
c) (2 ¹/₃)⁴=(7/3)⁴=2401/81=29 i 52/81
d) √2 i ⁷/₉=14/10+7/9=126/90+70/90=196/90=2 i 16/90
e) √ 5 i ¹/₁₆=22/10+1/16=352/160+10/160=362/160=2 i 42/160=2 i 21/80