(do -1) oznacza do potegi -1 zad 2 a) 4 (do -1) = 1/4 b)12(do -1) = 1/12 c)10(do -1) = 1/10 d)100(do -1) = 1/100 e)(1/3) (do -1) = 3/1 = 3 f)(17/4)(do -1) = 4/17 g) (1 1/4) (do -1) = (5/4)(do -1)=4/5 h) (-2 2/5) = (-12/5)(do -1) -5/12 i) 0,1(do -1)= (1/10)(do -1)=10 j)0,01(do -1)= (1/100)(do -1)=100 k)(-3,2)(do -1)=(-32/10)(do -1)=-10/32 l) 1,1(do -1) = (11/10)(do -1) = 10/11 zad3 a) 1/11 = 11(do -1) b)(-1/101) = -101(do -1) c) 81 3/4 = 327/4 = (4/327)(do -1) d)(-2 2/7) =(-16/7) = (-7/16)(do -1) e) 0,4 = 4/10 = 10/4= 2 2/4 = 2 1/2 (do -1) f)4,8= 48/10 =10/48 = 5/24(do -1) g) 12,5 = 125/10 = 25/2 = 2/25(do -1) h)(-13,7)= (-137/10) =(-10/137)(do -1) zad7 a) 10 (do -4) b) (-3) (do 3) c)2 (do 41) d) 5 (do -18) e) x (do 13) f) y(do 66) g) z(do 16) h)d (do -44 )
2. a) 4⁻¹ = 1/4¹ = 1/4 b) 12⁻¹ = 1/12 c) (-10)⁻¹ = -1/10 d) 100⁻¹ = 1/100 e) ⅓⁻¹ = 1/(⅓) = 3 f) (17/4)⁻¹ = 4/17 g) (1¼)⁻¹ = (5/4)⁻¹ = 4/5 h) (-12/5)⁻¹ = -5/12 i) (0,1)⁻¹ = (1/10)⁻¹ = 10 j) (0,01)⁻¹ = 100 k) (-3,2)⁻¹ = 1/3,2 = 10/32 = 5/16 l) 1,1⁻¹ = (11/10)⁻¹ = 10/11 3. a) 11⁻¹ b) -101⁻¹ c) (4/327)⁻¹ d) (-7/16)⁻¹ = - (7/16)⁻¹ e) (10/4)⁻¹ = 2,5⁻¹ f) 4,8 = 4⅘ = 24/5 = (5/24)⁻¹ g) 12,5 = 12½ = 25/2 = (2/25)⁻¹ h) -13,7 = -137/10 = -(10/137)⁻¹ 17. a) 10⁻¹:10³ = 10⁻⁴ = 0,0001 b) (-3)⁻⁹ * (-3)¹² = (-3)³ = -27 c) 2²¹ * 2⁻²⁰ = 2¹ = 2 d) 5⁻¹⁰ : 5⁸ = 5⁻¹⁰⁻⁸ = 5⁻¹⁸ e) x²: x³ = x⁻¹ = 1/x f) y⁻⁶ : y⁻⁸ = y⁻⁶ * y⁸ = y² g) z⁻²⁰:(z³)² = z⁻²⁰:z⁶ = z⁻²⁶ h) d⁻⁶ : d²⁰ * d⁻¹² = d⁻⁶⁻²⁰⁺⁻¹²= d⁻³⁸