(4^3X^6YZ^3)(5^2X^2Y^3Z^2)
\(\begin{array}{rcll} (4^3x^6yz^3)\cdot (5^2x^2y^3z^2) &=& 4^3x^6yz^3 5^2x^2y^3z^2 \\ &=& 4^35^2x^6x^2yy^3z^3z^2\\ &=& 4^35^2x^{6+2}y^{1+3}z^{3+2}\\ &=& 4^35^2x^{8}y^{4}z^{5}\\ \end{array}\)