Answer
$18,003,384 a^{45}b^{30}$
Work Step by Step
$(14a^7b^6)^3(9a^6b^3)^4=(14^3)(a^7)^3(b^6)^3(9^4)(a^6)^4(b^3)^4
=(2744)(a^{(7\times3)})(b^{(6\times3)})(6561)(a^{(6\times4)})(b^{(3\times4)})
=(2744)(a^{21})(b^{18})(6561)(a^{24})(b^{12})
=(2744)(6561)(a^{(21+24)})(b^{(18+12)})
=18,003,384a^{45}b^{30}$
