125 la puterea 6 :25la puterea4 ×(5la puterea 3) la puterea11​

Răspuns :

125 ^ 6 : 25 ^ 4 × ( 5 ^ 3 ) ^ 11 =

( 5 ^ 3 ) ^ 6 : ( 5 ^ 2 ) ^ 4 × 5 ^ ( 3 × 11 ) =

5 ^ 18 : 5 ^ 8 × 5 ^ 33 =

5 ^ 10 × 5 ^ 33 =

5 ^ ( 10 + 33 ) = 5 ^ 43

125^6 : 25^4 x (5^3)^11 =

= (5^3)^6 : (5^2)^4 x 5^33 =

= 5^18 : 5^8 x 5^33 =

= 5^10 x 5^33 =

= 5^43