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2009-10-26T18:41:24+01:00
1zad.

(¼)⁴.(-8)⁴ (¼ × (-8))⁴ -1⁴
------------- = ------------- = ------ = -1
5⁴.(0,2)⁴ (5 × 0,2)⁴ 1⁴

2zad.

(½)³.4³ (½ × 4)³ 2³
--------------- = ----------------= ------ = 2³ = 8
(0,25)³.(-4)³ (0,25 ×(-4))³ 1³

3zad.

[[(2⁻³)]²]⁻¹ = 2⁶= 16

4zad.

3³.3⁸.(3²)⁵ 3¹¹×3¹⁰ 3²¹
------------- = ------------= ------ = 3¹=3
(3⁷)².(3²)³ 3¹⁴ × 3⁶ 3²⁰

5zad.

4⁷-4.16³ 2¹⁴- 4 × 2¹² 2¹²×2¹²
--------- = --------------- = ---------- = 2¹² = 4096
2¹² 2¹² 2¹²
2009-10-26T19:18:28+01:00
1zad.
(¼)⁴.(-8)⁴ (¼×-8)⁴ (-2)⁴
___________=__________=_________=(-2)⁴÷(1)⁴=(-2÷1)⁴=(-2)⁴=16
5⁴.(0,2)⁴ (5×⅕)⁴ (1)⁴


2zad.
(½)³.4³ (½×4)³ (2)³
__________=_________=________=(2)³÷(1)³=(2÷1)³=(2)³=8
(0,25)³.(-4)³ (¼×4)³ (1)³


3zad.
[[(2⁻³)]²]⁻¹=[[(½³)]²]⁻¹=[½⁶]⁻¹=[¹/₆₄]⁻¹=[64]¹=64


4zad.
3³.3⁸.(3²)⁵ 3¹¹×3¹⁰ 3²¹
__________=__________=_________=3²¹÷3²⁰ =3¹=3

(3⁷)².(3²)³ 3¹⁴ × 3⁶ 3²⁰


5zad.
5.4⁷-4.16³ 5×16384-4×4096 81920-16384 65536
___________=_________________=______________=_______=
2¹² 4096 4096 4096

=65536÷4096=16