Question

evaluate the following.
click on
ot a real number\ if applicable.
(a) $-1024^{\frac{1}{5}} = \square$
(b) $(-16)^{\frac{1}{2}} = \square$
(there is an option box with
ot a real number\ and operation buttons on the right)

Explanation:

Step1: Rewrite as 5th root

$-1024^{\frac{1}{5}} = -\sqrt[5]{1024}$

Step2: Find 5th root of 1024

$\sqrt[5]{1024} = 4$ because $4^5=1024$, so $-\sqrt[5]{1024}=-4$

Step3: Rewrite as square root

$(-16)^{\frac{1}{2}} = \sqrt{-16}$

Step4: Evaluate square root of negative

Square root of negative is not real.

Answer:

(a) $-4$
(b) Not a real number