Question

12 13 de jos dau coroana ​

Answer 1

Răspuns:

Explicație pas cu pas:

12) a) (7¹⁰)⁵ : (7·7¹²·7¹⁸) = (7¹⁰ˣ⁵) : (7¹⁺¹²⁺¹⁸) = 7⁵⁰ : 7³¹ = 7⁵⁰⁻³¹ = 7¹⁹

b) (2¹⁵·2¹⁷·2) : (2⁷)³ = (2¹⁵⁺¹⁷⁺¹) : (2⁷ˣ³) = 2³³:2²¹ = 2³³⁻²¹ = 2¹²

c) (5⁸)⁶ : (5¹⁰·5¹³·5) = (5⁸ˣ⁶):(5¹⁰⁺¹³⁺¹) = 5⁴⁸:5²⁴ = 5⁴⁸⁻²⁴ = 5²⁴

d) [(3⁶)³]⁵ : (3·3¹⁰)⁶ = (3⁶ˣ³ˣ⁵):(3⁽¹⁺¹⁰⁾ˣ⁶ = 3⁹⁰:3⁶⁶ = 3⁹⁰⁻⁶⁶ = 3²⁴

e) (7²·7¹²)⁵ : [(7²)³]⁵ = (7⁽²⁺¹²⁾ˣ⁵) : (7²ˣ³ˣ⁵) = 7⁷⁰: 7³⁰ = 7⁷⁰⁻³⁰ = 7⁴⁰

f) (2·2¹⁹)⁴ : [(2⁶)³]² = (2⁽¹⁺¹⁹⁾ˣ⁴) : (2⁶ˣ³ˣ²) = 2⁸⁰ : 2³⁶ = 2⁸⁰⁻³⁶ = 2⁴⁴

13) a) 5⁵⁴ = 5²ˣ²⁷ = (5²⁷)² = patrat perfect

b) 7⁵⁸ = 7²ˣ²⁹ = (7²⁹)² = patrat perfect

c) 4⁵³ = (2²)⁵³ = (2⁵³)² = patrat perfect

d) 9²⁹ = (3²)²⁹ = (3²⁹)² = patrat perfect

e) 17²⁶ = 17²ˣ¹³ = (17¹³)² = patrat perfect

f) 25³¹ = (5²)³¹ = (5³¹)² = patrat perfect

g) 13³⁴ = 13²ˣ¹⁷ = (13¹⁷)² = patrat perfect

h) 49²⁷ = (7²)²⁷ = (7²⁷)² = patrat perfect