Question

Zapisz w prostszej postaci:
a) (a do 4 * a do -3) to wszystko do -2 : a do -5=
b) [b * (b do 2) do -3 * b do 4] to wszystko do potęgi -1=
c) (x:x do 3) do 2 : (x do 4) do -2=
d) [(a do -3) do 4 * a] to wszystko do 2 : [a do -2 * a do 5 : (a do 2) do -1] to wszystko do -3=

Zad. 2 str. 25/26 ćwiczenia do matmy kl. 2 gim. :)

Answer 1

A ) (a^4 * a^--3 )^-2 /a^--5= a^-2:a^-5=a^3       
b)  [b * (b ^ 2) ^ -3 * b ^ 4] ^ -1= [b*b-6b^4]^-1=[b-6+4]^-1=(b^-1)^-1=b
c) (x/x^3) ^ 2 : (x^ 4) ^-2= x^-4/x^-8=x^4

Answer 2

A ) (a^4 * a^-3 )^-2            
-------------------------------- = a^-2 : a^-5 = a^ -2+5 = a^3
         a^-5

b) [ b*(b^2)^-3 * b^4] ^-1 = [b * b^-6 * b^4] ^-1 = [b^1-6+4 ] ^-1 = (b^-1)^-1 = b
c)
(x/ x^3)^2 : (x^4)^-2 = x^-4 : x^-8 = x^4
d)
  [ (a^-3)^4 *a]^2                a^-22               a^-22
-------------------------------- = ----------------- = --------------= a ^-27
  [a^-2 * a^5 : (a^2)^-1]     [a^3 : a^-2]           a^5