Odpowiedź:
1. a) (5*2)^7 = 10^7
b) (6:3)^8 = 2^8
c) (0,4*15)^6 = 6^6
d) (3/5:3)^5 = (3/5*1/3)^5 = (1/5)^5
e) (-2,7:(-9/10))^8 = (-27/10*(-10/9))^8 = 3^8
2. a) (2*15)^3 = 30^3 = 27000
b) (21:7)^4 = 3^4 = 81
c) (0,125*8)^191 = 1^191 = 1
d) (1,69:1,3)^2 = 1,3^2 = 1,69
e) (1 1/3*1 1/2)^4 = (4/3*3/2)^4 = 2^4 = 16
3. a) 2^12
b) 2^2* 2^15 = 2^17
c) (2^2)^5 *2^3 = 2^10* 2^3 = 2^13
d) (2^3)^3 : (2^4)^2 = 2^9 : 2^8 = 2
e) (2^2)^10 : 2^7 = 2^20 : 2^7 = 2^14
4. a) (9^2)^4 = 9^8
b) 3^2 = 9
c) 3^6 = (3^2)^3 = 9^3
d) 9^2 * (3^2)^3 = 9^2 * 9^3 = 9^5
e) 729 : (3^2)^2 = 9* 81 : 9^2 = 9* 9^2 : 9^2 = 9^3 :9^2 = 9
5. 100000= 10^5
b) 1000^4 = (10^3)^4 = 10^12
c) 100000000^2 = (10^8)^2 = 10^16
Szczegółowe wyjaśnienie:
