Question

(-0,25) dopotęgi 10 : (-10/4 do potęgi 10)

{(0,4) do potęgi 5 : (o,8) do potęgi 5 }do potęgi 6 * 16 do potęgi 9

Answer 1

(-0,25)^10 : (-10/4 ^10)=(-0,25:(-2,5)^10=(0,1)^10=0,0000000001

{(0,4) ^ 5 : (0,8)^5 }^ 6 * 16^ 9={(0,4:0,8)^5}^6*16^9=

=(0,5)^5*6*16^9=(0,5)^30*16^9=  8^2=64

 

Answer 2

                                                                                                                1

1)    (-0,25)¹⁰ : ( -¹⁰/₄)¹⁰ = [ - ¼ : (-¹⁰/₄)] ¹⁰  = ( ¼ · ⁴/₁₀ )¹⁰ = ( ¹/₁₀)¹⁰ = --------

                                                                                                                10¹⁰

 

2) [ (0,4)⁵ : (0,8)⁵ ]⁶ · 16⁹ = [ ( 0,4 : 0,8)⁵]⁶ · 16⁹ = [(½)⁵]⁶ · 16⁹ = 2⁻³⁰ ·(2⁴)⁹ = 2⁻³⁰ · 2³⁶ = 2⁶ = 64