Question

Exercitiul 2 va rog!

Answer 1

2.

a.

(1/8)⁷ = (1/2³)⁷ = (1/2²¹)

(1/4)³ = (1/2²)³ = (1/2⁶)

b.

(1/9)⁵ = (1/3²)⁵ = (1/3¹⁰)

(1/27)⁴ = (1/3³)⁴ = (1/3¹²)

c.

(27/8)⁷ = (3³/2³)⁷ = (3²¹/2²¹)

(18/8)⁵ = (2·3²/2³)⁵ = (2⁵3¹⁰/2¹⁵) = 3¹⁰/2¹⁰

d.

(1/32)⁶ = (1/2⁵)⁶ = 1/2³⁰

(3/48)⁵ = (1/16)⁵ = (1/2⁴)⁵ = (1/2²⁰)

Answer 2

Răspuns:

Explicație pas cu pas:

a ) ( 1 / 8 )⁷

8 = 2³

( 1 / 2³)⁷ = ( 1 / 2 )³ˣ⁷ = ( 1 / 2 )²¹

ₙ ( 1 / 4 )³

4 = 2²

( 1 / 2²)³ = ( 1 / 2)²ˣ³ = ( 1 / 2 )⁶

b ) ( 1 / 9 )⁵

9 = 3²

( 1 / 3²)⁵ = ( 1 / 3 )²ˣ⁵ = ( 1 / 3 )¹⁰

ₙ ( 1 / 27 )⁴

27 = 3³

( 1 / 3³)⁴ = ( 1 / 3 )³ˣ⁴ = ( 1 / 3 )¹²

c ) ( 27 / 8 )⁷

8 = 2³

27 = 3³

( 3³ / 2³ )⁷ = ( 3³ˣ⁷ / 2³ˣ⁷ ) = ( 3²¹ / 2²¹ )

ₙ ( 18 / 8 )⁵

18 = 2 x 3²

8 = 2³

( 2 x 3² / 2³ )⁵ = ( 2⁵ x 3²ˣ⁵ / 2³ˣ⁵ ) = ( 2⁵ x 3¹⁰ / 2¹⁵ ) = ( 3¹⁰ / 2¹⁰ )

d ) ( 1 / 32 )⁶

32 = 2⁵

( 1 / 2⁵)⁶ = ( 1 / 2 )⁵ˣ⁶ = ( 1 / 2 )³⁰

ₙ ( 3 / 48 ) ⁵ ( fractia se simplifica cu 3 ) = ( 1 / 16 )

( 1 / 16 )

16 = 4²

( 1 / 4²)⁵ = ( 1 / 4 )²ˣ⁵ = ( 1 / 4 )¹⁰