Odpowiedź:
1.
a)
(1,1)^5 : (1,1)³ = (1,1)² = 1,21
b)
(3/5)^4 * 5^4 = (3/5 * 5)^4 = 3^4 = 81
c)
(3/5)^4 * (1 2/3)^5 = (3/5)^4 * (5/3)^5 = (3/5 * 5/3)^4 * 5/3 = 1^4 * 5/3 = 5/3 =
= 1 2/3
d)
25² * 5³/5^6 = (5²)²/5³ = 5^4 : 5³ = 5^1 = 5
2.
a)
7³ * 7^6 : (7^4)² = 7^9 : 7^8 = 7^1 = 7
b)
3,6 * 10^5/(3 * 10^6) = 3,6/3 * 10^-1 = 1,2 * 10^-1 = 0,12
3.
a)
-1 4/7 + 0,2 = -1 4/7 + 1/5 = -1 20/35 + 7/35 = -1 13/35
b)
-0,3 - (-2/3) = -3/10 + 2/3 = -9/30 + 20/30 = 11/30
c)
-1 4/7 * 1,4 = -11/7 * 14/10 = -11/7 * 7/5 = -11/5 = -2 1/5
d)
-1,8 : (-2/3) = 18/10 * 3/2 = 6/5 * 3/2 = 9/5 = 1 4/5
e)
(7 - 19)/(2 - 5) + (-5 - 10)/(-3) = -12/(-3) - 15/(-3) = 4 + 5 = 9
4.
P = ab
a = 40m
b = 30m
P = 40m * 30m = 1200m² = 12a
odp. D.
5.
42l = 42 000ml
42 000ml : 150ml = 280
Aby wlac 42 litrow dzemu do tych sloikow potrzeba ich 280.
6.
7√3 - √12 + 5√3 - √48 = 12√3 - √(4*3) - √(3*16) = 12√3 - 2√3 - 4√3 = 6√3
odp. D.
Szczegółowe wyjaśnienie:
