Mohon bantuannya soal ini, dengan caranya nya ya...

Mohon bantuannya soal ini, dengan caranya nya ya…

Jawaban Terkonfirmasi

$displaystyle frac{(4a^2b^{-3})^2(8ab^4)^3}{16a^3b^4}=frac{4^2a^{2.2}b^{-3.2}times 8^3a^3b^{4.3}}{16a^3b^4} \\ frac{(4a^2b^{-3})^2(8ab^4)^3}{16a^3b^4}=frac{2^{2.2}a^4b^{-6}times 2^{3.3}a^3b^{12}}{2^4a^3b^4} \\ frac{(4a^2b^{-3})^2(8ab^4)^3}{16a^3b^4}=frac{2^4a^4b^{-6}times 2^9a^3b^{12}}{2^4a^3b^4} \\ frac{(4a^2b^{-3})^2(8ab^4)^3}{16a^3b^4}=2^{4+9-4}.a^{4+3-3}.b^{-6+12-4} \\ frac{(4a^2b^{-3})^2(8ab^4)^3}{16a^3b^4}=2^9a^4b^2 \\ boxed{frac{(4a^2b^{-3})^2(8ab^4)^3}{16a^3b^4}=512a^4b^2}$

Jawaban Terkonfirmasi

(4a^2b^-3)^2(8ab^4)^3/16a^3b^4
= (4^2a^4b^-6)(8^3a^3b^12)/2^4a^3b^4
=(2^4a^4b^-6)(2^9a^3b^12)/2^4a^3b^4
=2^13a^7b^6/2^4a^3b^4
=2^9a^4b^2