Question

Calculati :

3 la puterea 101 : 9 la puterea 50 =
(3 la puterea 57 : 9 la puterea 25 x 3 la puterea 10):3 la puterea 15 =

Answer 1

Răspuns:

3¹⁰¹ :  9⁵⁰ =

3¹⁰¹ : (3²)⁵⁰ =

3¹⁰¹ : 3⁽²ˣ⁵⁰⁾ =

3¹⁰¹ : 3¹⁰⁰ =

3⁽¹⁰¹⁻¹⁰⁰⁾ =

3¹ =  

3

(3⁵⁷ : 9²⁵ × 3¹⁰) : 3¹⁵ =

(3⁵⁷ : (3²)²⁵ × 3¹⁰) : 3¹⁵ =

(3⁵⁷ : 3⁽²ˣ²⁵⁾ × 3¹⁰) : 3¹⁵ =

(3⁵⁷ : 3⁵⁰ × 3¹⁰) : 3¹⁵ =

3⁽⁵⁷⁻⁵⁰⁺¹⁰⁾ : 3¹⁵ =

3¹⁷ : 3¹⁵ =

3⁽¹⁷⁻¹⁵⁾ =

3² =

9