Oblicz najprostszym sposobem :
c) ( 0,7)⁶ razy ( 1³/₇)⁶ - (1,6)³ : (0,8)³
d) (0,9)⁹ razy ( 1¹/₉)⁹ - (1,2)¹° : ( 1¹/₅)¹°
Zadanie 4:
Oblicz 270% liczby a , jeżeli: a = [(√¹⁶/₉)² + (2⅓)²] : [(2,5)⁶ razy (²/₅)⁶
Zadanie 5:
Znajdź cyfre jednosci liczby x = 16⁵+2¹⁵ jest podzielna liczba 33 .
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Zad1
c)
(7/10 * 10/7)^6 - (16/10*10/8)^3= 1^6 - 8 = 1-8= -7
d) (0,9)^9 * (1 1/9)^9 - (1,2)^10 : (1 1/5)^10 = (9/10 * 10/9)^9 - (12/10 * 5/6)^10= 1^9 - 1^10= 0
Zad2
= ((4/3)^2 + (7/3)^2) : ((5/2)^6 * (2/5)^6)=
= (16/9 + 49/9) : ((5/2 * 2/5)^6) = 65/9 : 1 = 65/9= 7 2/3
100%--->65/9
270%--->x
x= ( (65/9) *270) / 100 = 19,5
Odp. 270% liczby a to 19,5.