To find an expression that is equivalent to \( 161449\sqrt{16} \), we will first simplify \( \sqrt{16} \) and then analyze \( 161449 \).
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First, simplify \( \sqrt{16} \): \[ \sqrt{16} = 4 \]
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Now multiply \( 161449 \) by \( 4 \): \[ 161449 \cdot 4 = 645796 \]
Now, we will look to see if any of the responses corresponds to \( 645796 \) directly or if we need to express it in another form. However, the options given seem to be expressed in different fractions or integers rather than direct comparisons.
If we were meant to express \( 161449 \) in terms of exponents or fractions after simplification of \( \sqrt{16} \), we could also consider writing it as \( 161449 \cdot 4 \) and comparing its value or further analysis of properties of exponents.
Given that the responses seem structured as expressions rather than direct comparisons, we would return to our simplified value of \( 4 \) which serves directly to overlook.
However, without specific insight into how you want to treat \( 161449 \) and its properties, please confirm if focusing merely on its divisible nature or forms leads to a better resolve in context looking for values.
Thus, of the responses provided:
- \( \frac{1}{2} \)
- \( \frac{4}{7} \)
- \( \frac{2}{7} \)
- \( 2 \)
Ultimately retain their value relative; if we were to scale into an exponent based approach, we wouldn't find direct pairs; yet merely returning \( 4 \) or similar will suffice in logical value equivalence regarding analysis for \( \sqrt{16} \) simplifying downwards.
The best guess without more clarification appears to be \( 2 \) as an equivalent base form to go towards conclusion simplistically if needed as \( \frac{4}{2} \) would lead or circumstantially depict a preference before catching onto deeper fractional representations providing nothing improperly aimed too mechanistically.
Thus, an examination aims back at coherent granular facets trusting minor availability to \( \frac{1}{2} \) scaling matters.
So if naming simplest comparative values, verify what aspect of properties you further seek, else guidance stubbed makes for response yield best looking back toward direct \( 2 \) given.