we have the expression
[tex]\mleft(x^2\mright)^4\cdot(x^3)^2[/tex]Applying property of exponents
[tex]\begin{gathered} (x^2)^4\cdot(x^3)^2=x^{(2\cdot4)}\cdot x^{(3\cdot2)} \\ x^{(2\cdot4)}\cdot x^{(3\cdot2)}=x^8\cdot x^6 \\ x^8\cdot x^6=x^{(8+6)} \\ x^{(8+6)}=x^{(14)} \end{gathered}[/tex]