Question

Oblicz (podaj wszystkie obliczenia do tych przykładów)

a)2 do potęgi 3 -(3,2-1/3) =

b ) 3,15: (3 i 5/6 + 2 i 7/4) =

Answer 1

a)

2^3 - (3,2 - 1/3) = 8 - ( 32/10 - 1/3) = 8 - ( 16/5 - 1/3) = 8 - ( 48/15 - 5/15) =

= 8 - 43/15 = 8 - 2  13/15 = 5  2/15

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b)

3,15 : ( 3  5/6 + 2  7/4) = 3,15 : ( 3  10/12 + 2  21/12) = 3,15 : 5  31/12 =

= 3,15 : 7  7/12 = 315/100 : 91/12 = 315/100  * 12/91 = 3 780/9 100 = 378/910 =

= 189/455

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Answer 2

a)2^3-(3,2-1/3) =8-(3i 6/30 - 10/30) = 8 - 2 i 26/30= 5 i 4/30= 5 i  2/15

b)3,15/ (3 i  5/6 + 2 i 7/4) = 3,15/ ( 3 i 20/24 + 2 i 42/24) = 3,15/5 i 62/24 = 3,15/ 7 i 14/34 = 1,2467018469657...

 

to liczba niewymierna.