Odpowiedź:
1.
a)
1,1² = 1,21
(-1,1)² = 1,21
-1,1² = -1,21
b)
-1^16 = -1
(-1)^17 = -1
(-1)^32 = 1
2.
(1,6)² - 0,6² = 2,56 - 0,36 = 2,2
4.
(1/2)^5; -(1/2)^5; 2^5; (-2)^5
zatem
(-2)^5 < -(1/2)^5 < (1/2)^5 < 2^5
5.
a)
2^9 * (1/4)^9 : (1/2)^5 = 2^9 * (1/4)^9 : (1/2)^5 = (2 * 1/4)^9 : (1/2)^5 =
= (1/2)^9 : (1/2)^5 = (1/2)^4 = 1/16
b)
[(1/5)^8 : (2/25)^8]/2,5^6 = (1/5 * 25/2)^8/2,5^6 = (5/2)^8 : 2,5^6 =
= (5/2)^8 : 2,5^6 = (5/2)² * (5/2)^6 : (2,5)^6 = 25/4 * (5/2 : 2,5)^6 =
= 25/4 * (5/2 : 25/10)^6 = 25/4 * (10/25)^6 = 25/4 * (2/5)^6 = (5/4)² * (2/5)^6 =
= (5/4)² * (2/5)² * (2/5)^4 = (5/4 * 2/5)² * (2/5)^4 = (1/2)² * (2/5)^4 =
= (1/4 * 2/5)² * (2/5)² = (1/10)² * 4/25 = 1/100 * 4/25 = 1/25 * 1/25 = 1/625
zad.3 calkowicie nieczytelne
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