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.