Question

Scrieti rezultatul sub forma unei singure puteri:

a) (35/95)6 * (38/14)6
b) (33/50)9 * (25/22)9
c) (3/7)4 * (49/36)2

Answer 1

Răspuns:

Explicație pas cu pas:

A)  

(35/95)⁶ · (38/14)⁶ =

[(35:5)/(95:5)]⁶ · [(38:2) / (14:2)]⁶=

[(7/19) · (19/7)]⁶ =

1⁶ = 1

==================

B)

(33/50)⁹ · (25/22)⁹ =

[(33/22) · (25/50)]⁹ =  

[(33:11)/(22:11) · (25:25)/(50:25)]⁹ =

(3/2 · 1/2)⁹ =

(3/4)⁹

==================

C)

(3/7)⁴ · (49/36)² =

(3⁴/7⁴) · (7²/6²)² =

(3⁴/7⁴) · (7⁴/6⁴) =

3⁴/6⁴ =

(3/6)⁴

==pav38==