Proszę o rozwiązanie przykłądów z zadania dołączonego do załącznika.
Z góry dziękuje.
a) 3²+(-2)³ 1 9-8
--------- : --- = ----- · 16 = 1
(-4)² 16 16
b) [(0,75/0,25)² - (-0,5)³/(-0,125)² ]² = [(75/25)² - (-½)³/(-⅛)² ]² = [3²-(-⅛)/(-⅛)² ]²=
= [9 - (-⅛)⁻¹]² = [9 -(-8)]² (9+8)² = 17² = 289
c) (1 i5/9)²·(-0,375)³ · 3²/14 · (-5⅓)³ =
= (14/9)²·(-375/1000)³·9/14 · )-16/3)³ =
= (14/9)²· (14/9)⁻¹ · (-⅜)³·(-16/3)³= (14/9)¹·[-⅜·(-16/3)]³= 14/9 ·2³= 14/9·8=
= 112/9 = 12 i 4/9
d) (-0,027)⁵ · (-3,5)² - 12¼ · (-0,027)⁵ = (-0,027)⁵·[(-3,5)² - 12¼] =
= (-0,027)⁵·(12,25 - 12¼) = (-0,027) · 0 = 0
3²+(-2)³ 1 9-8 1 1 1 1 16
a/ ----------- :------- = -------- : ----- = ----- : ---- = ---- · ----- = 1
(-4)² 16 16 16 16 16 16 1
0,75 (0,5)³ 0,125 1
b/ [(-------)² - ----------]² = [ 3² - --------------]²= [9 - -------]²=[9-1:125/1000]²=
0,25 (-0,125)² 0,015625 0,125
[9- 1: 1/8]²=[9-1·8/1]²=(9-8)²=1²=1 itd.
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a) 3²+(-2)³ 1 9-8
--------- : --- = ----- · 16 = 1
(-4)² 16 16
b) [(0,75/0,25)² - (-0,5)³/(-0,125)² ]² = [(75/25)² - (-½)³/(-⅛)² ]² = [3²-(-⅛)/(-⅛)² ]²=
= [9 - (-⅛)⁻¹]² = [9 -(-8)]² (9+8)² = 17² = 289
c) (1 i5/9)²·(-0,375)³ · 3²/14 · (-5⅓)³ =
= (14/9)²·(-375/1000)³·9/14 · )-16/3)³ =
= (14/9)²· (14/9)⁻¹ · (-⅜)³·(-16/3)³= (14/9)¹·[-⅜·(-16/3)]³= 14/9 ·2³= 14/9·8=
= 112/9 = 12 i 4/9
d) (-0,027)⁵ · (-3,5)² - 12¼ · (-0,027)⁵ = (-0,027)⁵·[(-3,5)² - 12¼] =
= (-0,027)⁵·(12,25 - 12¼) = (-0,027) · 0 = 0
3²+(-2)³ 1 9-8 1 1 1 1 16
a/ ----------- :------- = -------- : ----- = ----- : ---- = ---- · ----- = 1
(-4)² 16 16 16 16 16 16 1
0,75 (0,5)³ 0,125 1
b/ [(-------)² - ----------]² = [ 3² - --------------]²= [9 - -------]²=[9-1:125/1000]²=
0,25 (-0,125)² 0,015625 0,125
[9- 1: 1/8]²=[9-1·8/1]²=(9-8)²=1²=1 itd.