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To simplify the given radical expression:

\[
-\sqrt{16x^8}
\]

### Step-by-Step Solution:
1. **Simplify the square root of 16:**
   \[
   \sqrt{16} = 4
   \]
   So, the expression becomes:
   \[
   -4\sqrt{x^8}
   \]

2. **Simplify the square root of \(x^8\):**
   \[
   \sqrt{x^8} = x^{8/2} = x^4
   \]
   This step uses the property that \(\sqrt{x^n} = x^{n/2}\).

3. **Combine everything:**
   \[
   -4x^4
   \]

Thus, the simplified form of the expression is:

\[
-4x^4
\]

Would you like any further details on this, or do you have any questions?

### Related Questions:
1. How do you simplify radical expressions with variables raised to odd powers?
2. Can you explain the properties of square roots when applied to products?
3. What is the general rule for simplifying even-powered variables under a square root?
4. How does the presence of a negative sign affect the overall simplification?
5. How can cube roots or other roots be simplified similarly?

### Tip:
When simplifying radical expressions, always start by simplifying constants and then work on variables using exponent rules.

Simplify the radical expression: -√(16x^8).

This page provides a detailed step-by-step solution to simplify the radical expression -√(16x^8), covering key algebraic concepts like square roots and exponent rules. Suitable for students in Grades 9-11.

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