Question

11 Scrieți sub forma unei singure puteri cu exponent număr natural:

Answer 1

a) 4 = 2²

8 = 2³

16 = 2⁴

(2²)¹⁶ x (2³)¹² x (2⁴)¹⁵ = 2³² x 2³⁶ x 2⁶⁰ = 2³²⁺³⁶⁺⁶⁰ =  2¹²⁸

b) 25 = 5²

125 = 5³

(5²)¹⁰ x 5²³ x (5³)⁵ = 5²⁰ x 5²³ x 5¹⁵ = 5⁵⁸

d) a⁶ x b² x a⁴ x b⁴ x b⁴ = a⁶⁺⁴ x b²⁺⁴⁺⁴ = a¹⁰ x b¹⁰ = (ax b)¹⁰

e)  (a¹² x b¹²) : a⁴ x b³ x a² x b = (a¹² x b¹²) : a² x b³ x b = a¹⁰ x b¹² x b³ x b = a¹⁰ x b¹⁶