POTENCE – OSNOVNO

                                           

1. Zapiši krajše:

                                                                       R:{xa; xn; }

 

                                                                          R:{un; xyn-1; }

 

                                                                                               R:

 

POTENCE – MEŠANE VAJE Z REŠITVAMI

Skrči izraze v nalogah, kolikor je mogoče:

2. a)  (1+xy-1) -1 – x0  + y-1 =                                                                           R:

    b)  (a+b) -1 (a-b)0 + 2(a0+b0) (a-b) -1 =                                                       R:

3. a)  a3∙a5: (a3)2  =                                                                                        R: a2      

    b)  4x5 ∙ (6-2 x-2 y3z)2 : (9-1 xz-3 )3   =                                                            R: 9/4 x-2 y6z11

4.)       (a3 ( a2 b3) 2)4 =                                                                                                        R: a28 b24

5.)       (1+xy-1) a :  (1-xy-1) a =                                                                       R:

6.)       (x-1+y) n-1 ∙  (x0+xy) 1-n • xn  =                                                              R: x

7.)       (a2∙b-3)2 (b2 a-3)3 : (a-5)2  =                                                                   R: a5

8.)       (3a3∙b2∙x-5)2 ∙(2a-2 b-3 x3)3 :(2b-1)4  =                                                    R:

9.)                                                                         R:  x-n

10.)                                                            R:

11.)                                                                       R:

12.)     (a + a -1) (a2 + a -2 – 1) =                                                                     R: a3 + a -3

13.)                                                                R:

14.)                                                                        R:

15.)     a)(1+(1+(1+a-1)-1)-1)-1 =                                                                     R:

            b)((a-1 - 1)-1 - 1)-1 + an-1 : (2an-1 + an-2) =                                           R:

            c)(l - (l + (l - a-1)-1)-1)-1 =                                                                   R: