Question

Prooszę na teraz! :)

Oblicz sprytnie:

a)

b)

c)

Z góry dziękuję :)

Answer 1

a)

 ..... = (3/5)^5 * (5/3)^5 * 5/3 = (3/5 * 5/3)^5 * 5/3 = 1^5 * 5/3 = 5/3

b)

... = (4/9)^7  

     ------------------= (4/9 : 2/9)^7 * 9/2 = (4/9 * 9/2)^7 * 9/2 = 2^7 * 9/2 = 2^6 * 9  

        (2/9)^7 * 2/9  

 c)

... = (13/9) * (13/9)^4

        ----------------------- = 13/9 * (13/9 : 13/3)^4 = 13/9 * (13/9 * 3/13)^4 =  

               (13/3)^4  

 

13/9 * (1/3)^4 = 13/9 *  1 / (3^2 * 3^2) = 13/9 * 1 / 81 = 13/729