Verified answer

We have 8 to the power of 2/3 or 8(2/3).

First, we will rewrite 8 as 23.

8(2/3) = 23(2/3)

We will apply the rules of exponents and multiply the exponents, (am)n = amn.

8(2/3) = 23(2/3) = 23 × (2/3)

Now, we will cancel the common factor 3 which will result in 22 = 4

Thus, 8 to the power of 2/3 is 4.

Answer:

4/3

Step-by-step explanation:

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