Question

Which choices are real numbers? Check all that apply.

Answer 1

A. (-16)^¼ :

$( - 16) { }^{ \frac{1}{4} } = \sqrt[4]{( - 16)}$

It's stuck at here

So, the choice A is False ❌

B. (-4)^½ :

${( - 4)}^{ \frac{1}{2} } = \sqrt[2]{( - 4)}$

Stuck at here too

So, the choice B is False ❌

C. (-32)^1/5 :

${( - 32)}^{ \frac{1}{5} } = \sqrt[5]{( - 32)} = - 2$

The result is -2. It's real number

So, the choice C is True ✔️

D. (-8)^⅓ :

${( - 8)}^{ \frac{1}{3} } = \sqrt[3]{( - 8)} = - 2$

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 :)