Question

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1) (1/2+2/3):(3/4-3/5)=

2) (5/7-1/2):(2/3*1/4)=

3) (3i/2+4)*(1/2)do potęgi 2 =

4) 2i1/3*6-3i1/3:2i1/6=

5) 2 do potęgi 2-2i1/4:2=

6) 5i1/2+3i1/4 :1/4+2i1/2*1/6=

7) (5do potęi 3 - 1i2/3+6i1/2)*2=

Answer 1

1) (1/2+2/3):(3/4-3/5)= (3/6 + 4/6) : (15/20 - 12/20) = 7/6 : 3/20 = 7/6 * 20/3 = 7/3 * 10/3 = 70/9 = 7 7/9

2) (5/7-1/2):(2/3*1/4)= (10/14 - 7/14) : (1/3*1/2) = 3/14 : 1/6 = 3/14 * 6/1 = 18/14 = 1 4/14 = 1 2/7

3) (3i 1/2+4)*(1/2)do potęgi 2 = (3,5 +3) * 1 = 6,5 + 1 = 6,5

4) 2i1/3*6-3i1/3:2i1/6= 7/3 * 6 - 10/3 : 13/6 = 42/3 - 5/3 * 6/13 = 42/3 - 5/1 * 2/13 = 42/3 - 10/13 = 546/39 - 30/39 = 516/39 = 13 9/39 = 13 3/13

5) 2 do potęgi 2-2i1/4:2= 4 - 2 1/4 : 2 = 4 - 9/4 * 1/2 = 4 - 9/8 = 4 - 1 1/8 = 2 /7/8

6) 5i1/2+3i1/4 :1/4+2i1/2*1/6= 5,5 + 3,25 : 0,25 + 2,5 * 1/6 = 5,5 + 13 + 5/2 * 1/6 = 18,5 + 5/12 = 37/2 + 5/12 = 222/12 + 5/12 = 227/12 = 18 11/12

7) (5do potęi 3 - 1i2/3+6i1/2)*2= (125 - 5/3 + 13/2) * 2 = (125 - 10/6 + 39/6) *2 = (125 - 49/6) * 2 = (125 - 8 1/6) *2 = 116 5/6 * 2 =  701/6 * 2/1 = 1402/6 = 233 4/6 = 233 2/3

Answer 2

1) (1/2+2/3):(3/4-3/5)= (3/6+4/6) : (15/20 - 12/20) = 7/6 : 3/20 = 7/6 x 20/3 = 140/18 = 7 14/18 = 7 7/9

2) (5/7-1/2):(2/3*1/4)= (10/14 - 7/14) : 2/12 = 3/14 : 2/12 = 3/14 * 12/2 = 36/28 = 1 8/28 = 1 2/7

3) (3i/2+4)*(1/2)do potęgi 2 = 7 1/2 * 1/4 = 15/2 * 1/4 = 15/8 = 1 7/8

4) 2i1/3*6-3i1/3:2i1/6=12 6/3 - 10/3 * 6/13 = 12 6/3 - 60/39 = 14 - 60/39 = 12 18/39

5) 2 do potęgi 2-2i1/4:2= 4 - 2 1/4 * 1/2 = 4 - 9/4 * 1/2 = 4 - 9/8 = 2 7/8

6) 5i1/2+3i1/4 :1/4+2i1/2*1/6= 5 1/2 + 13/4 * 4/1 + 5/2 * 1/6 = 5 1/2 + 13/1 (4 sie skracają) + 5/12 = 5 6/12 + 13 +5/12 = 18 11/12

7) (5do potęi 3 - 1i2/3+6i1/2)*2= (125 - 1 2/3 + 6 1/2) *2 = (123 2/6 + 6 3/6) *2 = 129 5/6 * 2 = 779/6 * 2 (2 i 6 się skraca)= 779/3 = 259 2/3  

 JA mam dobrze napewno