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Am nevoie de o explicatie si rezolvare la aceste exercitii:
1. (9/25)**10 : (3/5)**20 = ?
2. (8**70 : 2**199 * 4**10)**3 = 2**x? x = ?
** = la putere
/ = supra




Răspuns :

Răspuns:

9/25 = (3/5)^2 =>(9/25)^10=(3/5)^(2×10) = (3/5)^20

(3/5)^20 : (3/5)^20 = 1

8^70 = (2^3)^70 = 2^210

4^10 = (2^2)^10 = 2^20

(2^210 : 2^199 • 2^20)^3 = 2^x

[2^(210-199+20)]^3 = 2^x

x=31•3

x=93