Question

(4/9)^7 : (2/9)^8 = ???

Answer 1

                                (4/9)^7

(4/9)^7 : (2/9)^8 =------------------- =  (4/9 : 2/9)^7 * (2/9)^(-1) =

                                (2/9)^7 * (2/9)^1

 

(4/9 * 9/2)^7 * (9/2) = 2^7 * 9/2 = 2^6 * 9 = 64 * 9 = 576

 

 

lub 2 sposób:

         4^7        2^8        (2^2)^7      9^8        2^14       9

... = ------- : --------- = ----------  x ------- = ------- x ---- = 2^(14 - 8) * 9 = 2^6 * 9 =576

         9^7         9^8         9^7           2^8          1         2^8