We are asked to simplify the expression $9^8 \cdot 9^2$.

AlgebraExponentsSimplificationAlgebraic Manipulation
2025/4/23

1. Problem Description

We are asked to simplify the expression 98929^8 \cdot 9^2.

2. Solution Steps

To solve this problem, we can use the property of exponents that states aman=am+na^m \cdot a^n = a^{m+n}, where aa is the base and mm and nn are the exponents.
In this case, a=9a = 9, m=8m = 8, and n=2n = 2.
Applying the formula, we have:
9892=98+2=9109^8 \cdot 9^2 = 9^{8+2} = 9^{10}
Therefore, 9892=9109^8 \cdot 9^2 = 9^{10}.

3. Final Answer

9109^{10}

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