Question

Rozwiążcie pliis ... a) (0.5) do potęgi 2 x 10 do potęgi 2 =.... b) (1/2)do potęgi 3 : (2/3) do potęgi 3=... c) 7do potęgi 5 x(-1/7) do potęgi 5=.... d) (2/3) do potęgi7 x 3 do potęgi 7 x(-1/2)do potęgi7=... e)(-6) do potęgi 4 :3 do potęgi 4 =... f)(-2/3)do potęgi 9 : (-2/3)do potęgi 7 =.... g)(0.2)do potęgi 7 :(1/5) do potęgi 7 =... h)(-5)do potęgi 3 : (-0.2) do potęgi 3 =....

Answer 1

a) (0.5)² · 10² = (0,5·10)² = 5² = 25

b) (1/2)³ : (2/3)³ = (1/2:2/3)³ = (1/2·3/2)³ = (3/4)³ = 27/64

c) 7⁵ · (-1/7)⁵ = (7·(-1/7))⁵ = (-1)⁵ = -1

d) (2/3)⁷ · 3⁷ · (-1/2)⁷ = (2/3·3·(-1/2))⁷ = (-1)⁷ = -1

e) (-6)⁴ : 3⁴ = (-6:3)⁴ = (-2)⁴ = 16

f) (-2/3)⁹ : (-2/3)⁷ = (-2/3)² = 4/9

g) (0.2)⁷ : (1/5)⁷ = (0,2:1/5)⁷ = (0,2·5)⁷ = 1⁷ = 1

h) (-5)³ : (-0.2)³ = (-5:(-0,2))³ = (-5·(-5))³ = 25³ = 15 625