Zad 1.20
a) 5 * 2^5 = 5*32 = 160
e) (1/2)^3 * (2/3)^3 = 1/8 * 8/27 = 1/27
g) (2^2)^3 = 2^6 = 64
h) [(-2)^2]^3 = (-2)^6 = 64
Zad 1.21.
a) (3/7)^-2 : (9/49)^-2 = (7/3)^2 : (49/9)^2 = (7/3 * 7/3) * (9/49 * 9/49) = (3/7)^2 = 9/49
e) 1/2 *2^0 - 3^-2 = 1/2 * 1 - (1/3)^2 = 1/2 - 1/9 = 9/18 - 2/18 = 7/18
f) [2/3 + (2/3)^-2]^0 = 1
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Zad 1.20
a) 5 * 2^5 = 5*32 = 160
e) (1/2)^3 * (2/3)^3 = 1/8 * 8/27 = 1/27
g) (2^2)^3 = 2^6 = 64
h) [(-2)^2]^3 = (-2)^6 = 64
Zad 1.21.
a) (3/7)^-2 : (9/49)^-2 = (7/3)^2 : (49/9)^2 = (7/3 * 7/3) * (9/49 * 9/49) = (3/7)^2 = 9/49
e) 1/2 *2^0 - 3^-2 = 1/2 * 1 - (1/3)^2 = 1/2 - 1/9 = 9/18 - 2/18 = 7/18
f) [2/3 + (2/3)^-2]^0 = 1
a) 5•2•2•2•2•2= 160
e)=1/8•8/27 =1/27
g)=64
h)= (-2•-2)3= 4•4•4= 64