Question

simplify each expression.
select
ot a real number\ if applicable.
part 1 of 3
(a) $8^{\frac{1}{3}} = \square$
part 2 of 3
(b) $(-8)^{\frac{1}{3}} = \square$

Explanation:

Step1: Rewrite as cube root

$8^{\frac{1}{3}} = \sqrt[3]{8}$

Step2: Evaluate the cube root

$\sqrt[3]{8} = 2$, since $2^3=8$

Step3: Rewrite as cube root

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

Step4: Evaluate the cube root

$\sqrt[3]{-8} = -2$, since $(-2)^3=-8$

Answer:

(a) $2$
(b) $-2$