To simplify the expression \((a^8b^8)(a^6b^3)\), you can use the properties of exponents. Specifically, when multiplying like bases, you add the exponents.
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Multiply the \(a\) terms: \[ a^8 \cdot a^6 = a^{8+6} = a^{14} \]
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Multiply the \(b\) terms: \[ b^8 \cdot b^3 = b^{8+3} = b^{11} \]
Now, combine these results: \[ (a^8b^8)(a^6b^3) = a^{14}b^{11} \]
Thus, the simplified expression is: \[ \boxed{a^{14}b^{11}} \]
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