DZIAŁANIA

1 / 12

DZIAŁANIA - PowerPoint PPT Presentation

DZIAŁANIA. NA POTĘGACH. wykładnik potęgi. a n. podstawa potęgi. Potęga, to iloczyn jednakowych czynników. a n = a · a · a · a ... · a. n czynników. a 1 = a. PRZYKŁADY: 2 1 = 2 (-6) 1 = -6 (1,2) 1 = 1,2 134 1 = 134. dla n = 1. a 0 = 1 a = 0. PRZYKŁADY:

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.

DZIAŁANIA

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

DZIAŁANIA

NAPOTĘGACH

an

podstawa

potęgi

Potęga, to iloczyn jednakowych czynników

an = a · a · a · a ... · a

n czynników

a1 = a

21 = 2

(-6)1 = -6

(1,2)1 = 1,2

1341 = 134

dla n = 1
a0 = 1

a = 0

20 = 1

(-6)0 = 1

(1,2)0 = 1

1340 = 1

dla n = 0
a-n =

a = 0

2-3 =

(-6)-2 =

1

an

1

8

1

36

am · an = am+n

a = 0

m Є C, nЄ C

2-3· 27· 2-2 =

=2 –3+7-2 = 22 = 4

7-8· 710 · 76 =

= 7-8+10+6 = 78

mnożenie potęg o tej samej podstawie
an : am = an-m

a = 0

m Є C, nЄ C

128 : 126 =

= 128-6 = 122 = 144

32 : 3-2 =

= 32+2 = 34 = 81

dzielenie potęg o tej samej podstawie
(a · b)n = an · an

a = 0, b = 0,

nЄ C

(5abc)3 = 53 a3 b3

(0,4)11· (2,5)11 =

(0,4·2,5)11 = 111 = 1

potęgowanie iloczynu
(a: a)n = an : an

a = 0, b = 0,

nЄ C

125 : 65 =

= (12 : 6)5 = 25 = 32

1462 : 732 =

= (146 : 73)2 = 22 = 4

potęgowanie ilorazu
(am)n = am·n

a = 0,

m Є C, nЄ C

(22)3 =

= 22·3 = 26 = 64

(-31)2 =

= (-3)1·2 = (-3)2 = 9

potęgowanie potęgi

Autor prezentacji

Magdalena Grzegorczyk

nauczyciel matematyki

Gimnazjum nr 3 w Jaworznie