Question

Helpp!!!!! 3 si 4 !!!!

Answer 1

3. n = (5 · 5² · 5³)⁷ : (25³)⁷

~

n²⁰¹⁷ = ?

~

n = (5 · 5² · 5³)⁷ : (25³)⁷

n = 5⁴² : 25²¹

n = 5⁴² : (5²)²¹

n = 5⁴² : 5⁴²

n = 1.

n²⁰¹⁷ = 1²⁰¹⁷ = 1.

4. a = (2 · 4² · 8³)⁵ : 32¹²

~

a este pătrat perfect?

~

a = (2 · 4² · 8³)⁵ : 32¹²

a = [2 · (2²)² · (2³)³]⁵ : (2⁵)¹²

a = (2 · 2⁴ · 2⁹)⁵ : 2⁶⁰

a = (2¹⁴)⁵ : 2⁶⁰

a = 2⁷⁰ : 2⁶⁰

a = 2¹⁰ = (2⁵)² = 32² ⇒ a este pătrat perfect.

/rfd