Question

Scrieți ca putere a unei singure baze​ vă rogggggg

Answer 1

Răspuns :

567, 2601 ^9, 6 ^625, 1125 ^269, 6 ^115, 1, 4 ^657

Explicație pas cu pas :

A ) (7 ×9) ^223 :(7 ^222 ×9 ^221)

7 ^223 :7 ^222 ×9 ^223 :9 ^221

7 ^(223-222)×9 ^(223-221)

7 ^1 ×9 ^2

7 ×81

567

B) 153 ^231 ×17 ^231 :(9 ^222 ×17 ^222 ×17 ^222)

(153 ×17) ^231 :(9 ×17 ×17) ^222

2601 ^231 :2601 ^222

2601 ^(231 - 222)

2601 ^9

C) (9 +3^5:3^4+1 ^125 +5)^625 :3 ^625

(9 +3 ^(5-4)+1 +5) ^625 :3 ^625

(9 +3 +1 +5) ^625 :3 ^625

18 ^625 :3 ^625

(18 :3) ^625

6 ^625

D) (3 ×5^4)^269 ×(3 ^4 ×5)^269 :(27 ×25) ^269

(3 ×625) ^269 ×(81 ×5)^269 :675 ^269

1875 ^269 ×405 ^269 :675 ^269

759.375 ^269 :675 ^269

(759.375 :675) ^269

1125 ^269

E) (2 ^3 ×3^2) ^115 ×(3^3 ×2^2) ^115 :(3^4×2^4) ^115

(8 ×9)^115 ×(27 ×4) ^115 :(81 ×16) ^115

72 ^115 ×108 ^115 :1296 ^115

(72×108) ^115 :1296 ^115

7776 ^115 :1296 ^115

(7776 :1296) ^115

6 ^115

F) (13^5×3^4)^0 ×(7^99 ×53^9)^0 :(2 ^55 ×3 ^64) ^0

1 ×1 :1

1

(orice număr ridicat la puterea 0 este 1)

G) (1 +2 +3^2) ^657 ×(3 ×2)^657 :12 ^657

(1 +2 +9) ^657 ×6 ^657 :12 ^657

12 ^657 ×6 ^657 :12 ^657

(12 ×6) ^657 :12 ^657

48 ^657 :12 ^657

(48 :12) ^657

4 ^657

#copaceibrainly