Question

Which choices are real numbers? Check all that apply.

A. (-16)^1/4
B. (-4)^1/2
C. (-32)^1/5
D. (-8)^1/3

Answer 1

C. AND D.

Explanation:

A P E X

Answer 2

A. (-16)^¼ :

`( - 16) { }^{ (1)/(4) } = \sqrt[4]{( - 16)}`

It's stuck at here

So, the choice A is False ❌

B. (-4)^½ :

`{( - 4)}^{ (1)/(2) } = \sqrt[2]{( - 4)}`

Stuck at here too

So, the choice B is False ❌

C. (-32)^1/5 :

`{( - 32)}^{ (1)/(5) } = \sqrt[5]{( - 32)} = - 2`

The result is -2. It's real number

So, the choice C is True ✔️

D. (-8)^⅓ :

`{( - 8)}^{ (1)/(3) } = \sqrt[3]{( - 8)} = - 2`

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 :)