Answer:[tex]36h^3[/tex]Step-by-step explanation:Exponents: In exponent multiplication, multiply the constants and add the powers of the variable which are same. [tex]\sf \boxed{a^{m}*a^n=a^{m+n}}[/tex] & [tex]\boxed{a^0 = 1}[/tex] [tex]\sf (12g^2h^7)(3g^{-2}*h^{-4})= 12*3 * g^{2+(-2)}*h^{7+(-4)}\\\\[/tex] [tex]= 36g^0*h^3\\\\=36*1*h^{3}\\\\=36h^3[/tex]