Questions: What is the value of the expression below? (4^(1 / 2))^2 A. 4 B. 12 C. 16 D. 8

What is the value of the expression below?
(4^(1 / 2))^2
A. 4
B. 12
C. 16
D. 8
Transcript text: What is the value of the expression below? \[ \left(4^{1 / 2}\right)^{2} \] A. 4 B. 12 . C. 16 D. 8
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Solution

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Solution Steps

Step 1: Simplify the Inner Expression

The expression is \(\left(4^{1 / 2}\right)^{2}\). First, simplify the inner part \(4^{1 / 2}\). Since \(4^{1 / 2}\) is the square root of 4, we have: \[ 4^{1 / 2} = \sqrt{4} = 2. \]

Step 2: Raise the Simplified Expression to the Power of 2

Now, raise the result from Step 1 to the power of 2: \[ \left(4^{1 / 2}\right)^{2} = 2^{2} = 4. \]

Final Answer

The value of the expression is \(\boxed{4}\). The correct choice is A.

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