Simplify. Express your answer using positive exponents.
4ab9a9b9

To simplify the expression \( 4ab^9a^9b^9 \) and express it using positive exponents:

1. First, group the like terms together:
   \[
   4a \cdot a^9 \cdot b^9 \cdot b^9
   \]

2. Next, apply the rule of exponents \( x^m \cdot x^n = x^{m+n} \) to combine the like terms:
   \[
   4 \cdot a^{1+9} \cdot b^{9+9}
   \]

3. Simplify the exponents:
   \[
   4a^{10}b^{18}
   \]

So, the simplified expression is \( \boxed{4a^{10}b^{18}} \).

Would you like more details on the steps? Here are some related questions:

1. What are the basic rules of exponents?
2. How can you simplify expressions with multiple variables?
3. What is the importance of expressing answers with positive exponents?
4. Can you provide an example where exponents are negative?
5. How would you simplify an expression with fractional exponents?

**Tip:** Remember, when multiplying terms with the same base, you add their exponents.

Learn how to simplify the expression 4ab^9a^9b^9 using exponent rules. This problem involves combining like terms with variables and applying exponent rules to express the result with positive exponents. Suitable for students in Grades 7-9.

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