Question

oblicz:

1) 3i1/4 * (-7)=

2) 5i2/3 *(-4i1/2)=

3) -3 i 1/7 * 8 i 2/9=

4) 6 i 3/4 * (-7i1/3)=

5) -15 i 1/2 * (-16 i 2/3)=

6) -1i7/11*(-4i3/5)=

7) 9/11 : (-7/12)=

8) 1i4/5 :(-3/9)=

9) 7,5:1/3=

10)1,21:(-3,7)=

11) -4,3 : 5,67 =

12) 4 i 1/2 + 2i1/5 - 6i3/4=

13) 6:1/2 +9i1/4*3/37=

14) 4i1/3 - 5i1/2 : 11/12+3/5=

15) (1/3)do potegi 2 :(3/5) do potegi 2 - 4/5 *1/9 =

16) (6/7- 2/14) : (3-2i1/3)=

17) ( pierwiastek z 1i7/9 - 3/3 ) : 2/3 =

18) [(-2/5)do potegi -1 *(2/3)do potegi 2] do potegi -2=

Answer 1

1) 13/4 * (-7)= -91/4= -22 i 3/4

2) 17/3 * (-9/2)= 17 * (-3/2)= -51/2= -25 i 1/2

3) -22/7 * 74/9= -1628/63= -25 i 53/63

4) 27/4 * (-22/3)=9/2 * (-11)= -99/2= -49 i 1/2

5) -31/2 * (-50/3)=31 * (25/3)=775/3=258 i 1/3

6) -18/11 * (-23/5)=414/55=7 i 29/55

7) 9/11 : (-7/12)=9/11 * (-12/7)= -108/77= -1 i 31/77

8)  9/5:(-1/3)=9/5 * (-3)= -27/5= -5 i 2/5

9) 15/2:1/3=15/2 * 3= 45/2= 22 i 1/2

10) 1,21:(-37/10)=121/10 * (-10/37)= 121 * (-1/37)= -121/37= -3 i 10/37

11) -4,3 : 5,67 = -43/10 : 567/100=-43/10 * 100/567= -43 * 10/567= -430/567

12) 4 i 1/2 + 2i1/5 - 6i3/4=4,5+2,2-6,75=6,7-6,75= -0,05

13) 6:1/2 +9i1/4*3/37=6*2 + 37/3*3/37=12+1=13

14) 4i1/3 - 5i1/2 : 11/12+3/5=13/3 - 11/2 : 11/12 + 3/5=26/6 - 33/6 : 11/12 + 3/5= -7/6 : 11/12 + 3/5= -14/12 * 12/11 + 3/5= -14 * 1/11 + 3/5= -14/11 + 3/5= -70/55 + 33/55= -37/50

15) (1/3)^ 2 :(3/5)^ 2 - 4/5 *1/9 = 1/9 : 9/25 - 4/5 *1/9=  1/9 * 25/9 - 4/5 *1/9= 1/9 * (25/9 - 4/5)= 1/9 * (125/45 - 36/45)= 1/9 * 89/45= 89/405

16) (6/7- 2/14) : (3-2i1/3)=(6/7-1/7) : (3-7/3)=5/7 : (9/3-7/3)=5/7 : 2/3=5/7 * 3/2= 15/14= 1 i 1/14

17) ( pierwiastek z 1i7/9 - 3/3 ) : 2/3 = ( pierwiastek z 16/9 - 3/3) : 2/3= (4/3-3/3) : 2/3= 1/3 : 2/3= 1/3 * 3/2= 1 * 1/2=1/2

18) [(-2/5)do potegi -1 *(2/3)do potegi 2] do potegi -2= [(-5/2) * (4/9)]^-2= [-5 * 2/9]^-2=(-10/9)^-2=(-9/10)^2=81/100