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The expression provided is:

\[
b^8 c^0 \cdot b^0 c^{-9}
\]

### Step-by-step simplification:

1. **Simplify \( c^0 \)**: Any number or variable raised to the power of 0 equals 1. Therefore, \( c^0 = 1 \).

   So the expression becomes:

   \[
   b^8 \cdot 1 \cdot b^0 \cdot c^{-9}
   \]

2. **Simplify \( b^0 \)**: Similarly, \( b^0 = 1 \), so the expression becomes:

   \[
   b^8 \cdot c^{-9}
   \]

3. **Final Expression**: There's nothing more to combine, so the simplified expression is:

   \[
   b^8 c^{-9}
   \]

Thus, the expression simplifies to \( b^8 c^{-9} \).

Would you like more details on any of the steps, or have any other questions?

### Related Questions:
1. What is the general rule for exponents when multiplying terms with the same base?
2. How do negative exponents affect expressions?
3. How can exponents be combined when both terms have different variables?
4. What does it mean when a variable is raised to a negative exponent?
5. Can expressions with negative exponents always be simplified further?

### Tip:
When simplifying expressions, always apply exponent rules such as \( x^0 = 1 \) and negative exponents \( x^{-n} = \frac{1}{x^n} \) first, as these can quickly reduce the complexity.

Simplify the expression b^8 * c^0 * b^0 * c^(-9). Express your answer as a single term, without a denominator.

Learn how to simplify the exponential expression b^8 * c^0 * b^0 * c^(-9) step by step. This problem involves using exponent rules such as x^0 = 1 and x^(-n) = 1/x^n. Suitable for students in Grades 9-10.

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