Question

Oblicz:

1.

√3-² =

(√3)-² =

√5-⁴ =

(√5)-⁴ =

√6-⁸ =

√(-6)-⁸ =

(√11)-⁴ =

2.

∛27 =

∛-27 =

∛(-3)³ =

(∛(-3))³ =

∛-2⁶ =

∛(-2)⁶ =

(∛-2)⁶ =

-(∛2)⁶ =

Liczę na odp. ;))

Answer 1

1.

√3-² = √(1/3)² = √1/9 = 1/3

(√3)-² = (1/√3)² = 1/3

√5-⁴ = √(1/5)⁴ = √1/625 = 1/25

(√5)-⁴ = (1/√5)⁴ = 1/25

√6-⁸ = √(1/6)⁸ = ((1/6)⁸)^½ = (1/6)⁴ = 1/1296

√(-6)-⁸ = ((-6)^½)⁻⁸ = (-6)⁻⁴ = (-1/6)⁴ = 1/296

(√11)-⁴ = (11^½)⁻⁴ = 11⁻² = (1/11)² = 1/121

 

2.

∛27 = 3

∛-27 = -3

∛(-3)³ = ∛-27 = -3

(∛(-3))³ = ((-3)^⅓)³ = (-3)¹ = -3

∛-2⁶ = ∛-64 = -4

∛(-2)⁶ = ∛64 = 4

(∛-2)⁶ = ((-2)^⅓)⁶ = (-2)² = 4

-(∛2)⁶ = -((2)^⅓)⁶ = -2² = -4