Question

What is the value of the expression below? (8^2/3)^1/2 A. 4 B. 1 C.2 D.8

Answer 1

The value of the given expression is 2. The correct option is C.2

Simplifying an Expression

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

$(8^{2/3})^{1/2}$

First, clear the bracket by multiplying the powers

That is,
$8^{\frac{2}{3}\times \frac{1}{2} }$

Simplifying, we get

$8^{\frac{1}{3} }$

This becomes

$\sqrt[3]{8}$

= 2

Hence, the value of the expression is 2. The correct option is C.2

Learn more on Simplifying an expression here: brainly.com/question/13009179

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