A. (-16)^¼ :
[tex]( - 16) { }^{ \frac{1}{4} } = \sqrt[4]{( - 16)}[/tex]
It's stuck at here
So, the choice A is False ❌
B. (-4)^½ :
[tex] {( - 4)}^{ \frac{1}{2} } = \sqrt[2]{( - 4)} [/tex]
Stuck at here too
So, the choice B is False ❌
C. (-32)^1/5 :
[tex] {( - 32)}^{ \frac{1}{5} } = \sqrt[5]{( - 32)} = - 2[/tex]
The result is -2. It's real number
So, the choice C is True ✔️
D. (-8)^⅓ :
[tex] {( - 8)}^{ \frac{1}{3} } = \sqrt[3]{( - 8)} = - 2[/tex]
The result is -2. It's real number too
So, the choice D is True ✔️
So, the choices are real numbers is C and D
Hope it helpful and useful :)
