oblicz w zeszycie wartości liczbowe wyrażeń:
a) 7^0 + (-5)^2 - 2^3 - √36
b) (2,6)^10 : (2 2/3)^10 - (^3√-27 + ^3√8
c) (2^10 : 2^9 + 1) × (√81 + √100)
d) 2^3 + 3^2 + 4^3
a) 7^0 + (-5)^2 - 2^3 - √36
b) (2,6)^10 : (2 2/3)^10 - (^3√-27 + ^3√8
c) (2^10 : 2^9 + 1) × (√81 + √100)
d) 2^3 + 3^2 + 4^3
Odpowiedź:
a) 7^0 + (-5)^2 - 2^3 - √36 = 1 + 25 - 8 - 6 = 26-14=12
b) (2,6)^10 : (2 2/3)^10 - (^3√-27 + ^3√8 = (26/10)^10 : (8/3)^10 - (-3 +2) =
(13/5 : 8/3)^10 - (-1) = (13/5 * 3/8)^10 +1 = (39/40)^10 + 1 = 0.77632962085+1= 1.77632962085
c) (2^10 : 2^9 + 1) × (√81 + √100) = [2^10-(9+1)] * (9+10) =1*19=19
lub (2^10 : 2^9 + 1) × (√81 + √100) = [2^(10-9) + 1] * (9+10)=(2+1)*19=3*19=57
d) 2^3 + 3^2 + 4^3 = 8 + 9 + 64 = 81
Szczegółowe wyjaśnienie: