Answer
$a^8b^3$
Work Step by Step
We start with the given expression: $(a^2b^3)(a^6)$
We re-arrange and regroup the factors using the commutative and associative properties of multiplication: $(a^2a^6)b^3$
To multiply powers with the same base, we add the exponents. $a^{2+6}b^3=a^8b^3$