Question

Przedstaw liczbę rzeczywistą w postacie o podstawie a

a)∛100, a=10
b)∛25, a=5
c)∛144, a=12
d)Pierwiastek 5 stopnia z 32 ,a=½

Answer 1

a

∛100 = 100^1/3 = 10^2/3

 

b)

∛25 = 25^1/3  = 5^2/3

 

c)

∛144 = 144^1/3 = 12^2/3

 

d)

⁵√32 = 32^1/5=(2^5)^1/5= 2^1 =(1/2)^-1

Answer 2

a) ∛100 = 100^(1/3) = (10^2)^(1/3) = 10^(2/3)

 

b) ∛25 = 25^(1/3) = (5^2)^(1/3) = 5^(2/3)

 

c) ∛144 = 144^(1/3) = (12^2)^(1/3) = 12^(2/3)

 

d) ⁵√32 = 32^(1/5) = (2^5)^(1/5) = 2^(5/5) = 2^1 = (1/2)^(-1)