Question

11. Scrieti sub forma unei singure puteri cu exponent număr natural

a) 25^10 × 5^23 × 125^5
b) 9^4 × 27^5 × 3^14

PS : ^ INSEAMNA RIDICAREA LA PUTERE

Va rog ajuatia-ma. Dau coroana si 10 puncte ​

Answer 1

Salutare!

a)

25¹⁰ × 5²³ × 125⁵ = (5²)¹⁰ × 5²³ × (5³)⁵ =

= 5²⁰ × 5²³ × 5¹⁵ = 5²⁰⁺²³⁺¹⁵ = 5⁵⁸

b)

9⁴ × 27⁵ × 3¹⁴ = (3²)⁴ × (3³)⁵ × 3¹⁴ =

= 3⁸ × 3¹⁵ × 3¹⁴ = 3⁸⁺¹⁵⁺¹⁴ = 3³⁷