Answer: \((-16)^{\frac{1}{5}}\) And \((-4)^{\frac{1}{3}}\)
Step-by-step explanation:
If there is a negative number inside a square root or if a negative number has power 1/2 then it is called a non real number or complex number.
In expression \((-16)^{\frac{1}{5}}\)
Negative number is not inside the square root.
⇒ It is a real number.
In expression \((-10)^{\frac{1}{4}}=((-10)^{\frac{1}{2}})^{\frac{1}{2}}\)
Negative number is inside the square root.
⇒ It is a non real number
In expression \((-4)^{\frac{1}{3}}\)
Negative number is not inside the square root.
⇒ It is a real number
In expression \(-32^{\frac{1}{3}}=((-32)^{\frac{1}{3}})^{\frac{1}{2}}\)
Negative number is inside the square root.
⇒ It is a not real number.
