The value of the given expression is 2. The correct option is C.2
From the question, we are to determine the value of the given expression
The given expression is
(8^2/3)^1/2
This can be properly written as
[tex](8^{2/3})^{1/2}[/tex]
First, clear the bracket by multiplying the powers
That is,
[tex]8^{\frac{2}{3}\times \frac{1}{2} }[/tex]
Simplifying, we get
[tex]8^{\frac{1}{3} }[/tex]
This becomes
[tex]\sqrt[3]{8}[/tex]
= 2
Hence, the value of the expression is 2. The correct option is C.2
Learn more on Simplifying an expression here: https://brainly.com/question/13009179
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