3)
8×9^6+(9^2)^3 =
= 8×9^6 + 9^6 =
= 9^6×(8+1) =
= 9^6×9 =
= 9^7 =
= 3^14 = (3^2)^7 = 9^7
(5^3)^4×25 =
= 5^12×5^2 =
= 5^14 = (5^2)^7 = 25^7
4^17:2^13 =
=( 2^2)^17 : 2^13
= 2^34 : 2^13 =
= 2^21 = (2^3)^7 = 8^7
in ordine crescatoare:
8^7 ; 9^7 ; 25^7 .
4)
(3^10)^4 × (5^8)^5 + 15^49 : 15^8 =
= 3^40 × 5^40 + 15^41 =
= (3×5)^40+ 15^41 =
= 15^40 + 15^41 =
= 15^40 ×( 1 + 15) =
= 15^40 × 16 =
= (15^20)^2 × 4^2 =
= ( 15^20 × 4)^2 este p.p
