simplify: $8^{\\frac{2}{3}}$

Explanation:

Step1: Rewrite the base

Rewrite (8) as (2^3), so (8^{\frac{2}{3}}=(2^3)^{\frac{2}{3}}).

Step2: Apply exponent rule

Using ((a^m)^n = a^{mn}), we get (2^{3\times\frac{2}{3}}).

Step3: Simplify the exponent

(3\times\frac{2}{3}=2), so (2^{2}).

Step4: Calculate the result

(2^2 = 4).

Answer:

(4)