Question

16 Efectuați, scriind rezultatul sub forma unei singure puteri:

a 2,3⁷ × 2,3 ² : 2,3⁶;

b (1,7²)³ × 1,7²la puterea 3 × 1,7:(1,7²)⁶;

c 4,5¹⁷: 4,50³ la puterea 2 × 4,5³ :(4,5²)⁵

d (11,037 ³)²¹ : (11,037 × 11,037⁶): 11,037⁷
​

Answer 1

Răspuns:

Explicație pas cu pas:

a)

2,3⁷ × 2,3 ² : 2,3⁶ =

2,3⁷⁺² : 2,3⁶ =

2,3⁹ : 2,3⁶ =

2,3⁹⁻⁶ =

2,3³

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

b)

(1,7²)³ × 1,7⁸ × 1,7 : (1,7²)⁶ =

1,7²ˣ³ × 1,7⁸ × 1,7 : 1,7²ˣ⁶ =

1,7⁶ × 1,7⁸ × 1,7 : 1,7¹² =

1,7⁶⁺⁸⁺¹ : 1,7¹² =

1,7¹⁵ : 1,7¹² =

1,7¹⁵⁻¹² =

1,7³

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

c)

4,5¹⁷: 4,50⁹ × 4,5³ : (4,5²)⁵ =

4,5¹⁷: 4,50⁹ × 4,5³ : 4,5²ˣ⁵ =

4,5¹⁷⁻⁹ × 4,5³ : 4,5²ˣ⁵ =

4,5⁸ × 4,5³ : 4,5¹⁰ =

4,5⁸⁺³ : 4,5¹⁰ =

4,5¹¹ : 4,5¹⁰ =

4,5¹¹⁻¹⁰ =

4,5¹

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

d)

(11,037 ³)²¹ : (11,037 × 11,037⁶) : 11,037⁷ =

11,037³ˣ²¹ : (11,037¹⁺⁶) : 11,037⁷ =

11,037⁶³ : 11,037⁷ : 11,037⁷ =

11,037⁶³⁻⁷⁻⁷ =

11,037⁴⁹

==pav38==