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The expression appears to be:

\[
2 \left( 4^{-\frac{1}{2}} \right) - 2^0 + 2^{\frac{3}{2}} + 2^2
\]

Let's solve this step by step.

1. \( 4^{-\frac{1}{2}} = \frac{1}{\sqrt{4}} = \frac{1}{2} \)
2. \( 2 \times \frac{1}{2} = 1 \)
3. \( 2^0 = 1 \)
4. \( 2^{\frac{3}{2}} = \sqrt{2^3} = \sqrt{8} \approx 2.828 \)
5. \( 2^2 = 4 \)

Now, the full expression becomes:
\[
1 - 1 + 2.828 + 4
\]

Let's compute the final result.The result of the expression:

\[
2 \left( 4^{-\frac{1}{2}} \right) - 2^0 + 2^{\frac{3}{2}} + 2^2
\]

is approximately \( 6.828 \).

Would you like further details or explanations on any step? 

Here are five related questions you might find useful:
1. What are negative exponents and how do they work?
2. How do fractional exponents relate to roots?
3. Why does \( 2^0 = 1 \)?
4. How can you simplify expressions with exponents?
5. How does one calculate square roots of non-perfect squares?

**Tip:** When solving exponent expressions, handle the powers one by one to avoid confusion, especially when dealing with fractions and negatives.

Evaluate the expression: 2(4^{-1/2}) - 2^0 + 2^{3/2} + 2^2

Learn how to evaluate the expression 2(4^{-1/2}) - 2^0 + 2^{3/2} + 2^2 step-by-step. This problem covers exponents, roots, and the order of operations, and is suitable for students in Grades 9-10.

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