Answer
$6x^{17}$
Work Step by Step
We start with the given expression: $(2x^5)(3x^{12})$
We re-arrange and regroup the factors using the associative and commutative properties of multiplication: $(2\times3)(x^5\times x^{12})$
We multiply the constants: $6(x^5\times x^{12})$
To multiply powers with the same base, we add the exponents:
$ 6x^{5+12}=6x^{17}$