Question

DAJE 30 PK!!! Zapisz wyrażenia w postaci potęgi o podstawie 3 i oblicz.

Answer 1

Odpowiedź:

a)

(9² * 3²) : 3⁶ = [(3²)² * 3²] : 3⁶ = (3⁴ * 3²) : 3⁶ = 3⁴⁺² : 3⁶ = 3⁶ : 3⁶ = 3¹ = 3

b)

(9² * 27²) : 3⁷ = [(3²)² * (3³)² : 3⁷ = (3⁴ * 3⁶) : 3⁷ = 3⁴⁺⁶ : 3⁷ =

= 3¹⁰ : 3⁷ = 3¹⁰⁻⁷ = 3³

c)

(3⁵ * 9¹) : (9² * 3²) = [(3⁵ * (3²)¹] : [(3²)² * 3²] = (3⁵ * 3²) : (3⁴ * 3²) =

= 3⁵⁺² : 3⁴⁺² = 3⁷ : 3⁶ = 3⁷⁻⁶ = 3¹ = 3

d)

(9² * 27²) : (3⁵ * 81¹) = [(3²)² * (3³)²) : (3⁵ * 3⁴) = (3⁴ * 3⁶) : (3⁵⁺⁴) =

= 3⁴⁺⁶ : 3⁹ = 3¹⁰ : 3⁹ = 3¹⁰⁻⁹ = 3¹ = 3

e)

9⁶ * 3² : (3⁵ * 9¹) = (3²)⁶ * 3² : (3⁵ * 3²) = 3¹² * 3² : (3⁵⁺²) = 3¹²⁺² : 3⁷ =

= 3¹⁴ : 3⁷ = 3¹⁴⁻⁷ = 3⁷

f)

(27⁵ * 3²) : [(3³)⁵ * 9¹] = [(3³)⁵ * 3²] : (3¹⁵ * 3²) = (3¹⁵ * 3²) : (3¹⁵ * 3²) =

= 3¹⁵⁺² : 3¹⁵⁺² = 3¹⁷ : 3¹⁷ = 3¹⁷⁻¹⁷ = 3⁰ = 1

Answer 2

Odpowiedź: załącznik

Szczegółowe wyjaśnienie: