Pilne ....
36. Oblicz
a) 4 do-4 * 5 do -4
b) 6 do-6 * 0,5 do -6
c) 0,125 do-12 * 8 do -12
d) (2 3/4) do -6 * (-8/11) do -6
e) 2,4 do -2 * 2,5 do -2
f) 0,002 do -4 * 1000 do -4
37. Oblicz.
a) 8 do -3 : 2 do -3
b) 5 do -2 : (-5) do -2
c) (1/3) do -4 : (1 1/3) do -4
d) 100 do -1 : 0,1 do -1
e) 60 do -7 : 30 do -7
f) (-10) do -5 : (-5) do -5
g) 15 do -8 : (1 1/2) do -8
h) 24 do -6 : 18 do -6
40. Oblicz.
a) (36 do 7 : 9 do 7) : (60 do 5 : 15 do 5)
b) [(3/4) do 15 * (1 2/3) do 15] * (1,25 : 1,25 do 12)
c) [(-3 1/3) do -8 : (-10) do -8 ] : (1/3) do -10.
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36. Oblicz
a) 4 do-4 * 5 do -4 =
= (4*5)⁻⁴ =
= 20⁻⁴=
= 2⁻⁴*10⁻⁴ =
= (1/2)⁴*10⁻⁴
b) 6 do-6 * 0,5 do -6=
= (6*0,5)⁻⁶ =
= 3⁻⁶ =
= (1/3)⁶
c) 0,125 do-12 * 8 do -12=
= [(1/8)*8]⁻¹² =
= 1⁻¹² =
= 1
d) (2 3/4) do -6 * (-8/11) do -6 =
= [(11/4)*(-8/11)]⁻⁶ =
= (-1/2)⁻⁶ =
= (-2)⁶ =
= 2⁶
e) 2,4 do -2 * 2,5 do -2 =
= (2,4*2,5)⁻² =
= 6⁻² =
= (1/6)² =
= 1/36
f) 0,002 do -4 * 1000 do -4=
=(0,002*1000)⁻⁴=
= 2⁻⁴=
= (1/2)⁴ =
= 1/16
37. Oblicz.
a) 8 do -3 : 2 do -3 =
= (8 : 2)⁻³ =
= 4⁻³ =
= (1/4)³
b) 5 do -2 : (-5) do -2 =
= [ 5 : (-5)]⁻² =
= (-1)⁻² =
= (-1)² =
= 1
c) (1/3) do -4 : (1 1/3) do -4=
= (1/3*3/4)⁻⁴=
= (1/4)⁻⁴ =
= 4⁴ =
= 256
d) 100 do -1 : 0,1 do -1 =
= (100 *10)⁻¹ =
= 1000⁻¹ =
= (10³)⁻¹ =
= 10⁻³ =
= 0,001
e) 60 do -7 : 30 do -7 =
= (60 : 30)⁻⁷ =
= 2⁻⁷ =
= (1/2)⁷=
= 1/128
f) (-10) do -5 : (-5) do -5 =
= [(-10) : (-5) ]⁻⁵ =
= 2⁻⁵ =
= (1/2)⁵=
= 1/32
g) 15 do -8 : (1 1/2) do -8 =
= (15 *2/3)⁻⁸ =
= 10⁻⁸ =
= (1/10)⁸
h) 24 do -6 : 18 do -6=
= (24 :18)⁻⁶ =
= (4/3)⁻⁶ =
= (3/4)⁶
40. Oblicz.
a) (36 do 7 : 9 do 7) : (60 do 5 : 15 do 5) =
= (36 :9)⁷ : (60 :15)⁵ =
= 4⁷ : 4⁵ =
= 4² =
= 16
(4*b) [(3/4) do 15 * (1 2/3) do 15] * (1,25 : 1,25 do 12) =
= 4b*[ (3/4 *5/3)¹⁵]*[ 1,25]⁻¹¹ =
= 4b*[(5/4)¹⁵ *(5/4)⁻¹¹] =
= 4b*(5/4)⁴
c) [(-3 1/3) do -8 : (-10) do -8 ] : (1/3) do -10. =
= [ (10/3)*(-1/10)⁻⁸ ] : (1/3)⁻¹⁰ =
= (-1/3)⁻⁸ : (1/3)¹⁰ =
= (1/3)⁻⁸ * 3¹⁰ =
= 3⁸ *3¹⁰ =
= 3¹⁸