Jika k=2,l=3,dan m=4,tentukan hasil dari (3k²l³m/k³l^-5m⁴)^-2

Jika k=2,l=3,dan m=4,tentukan hasil dari (3k²l³m/k³l^-5m⁴)^-2

$left({ frac{3{k}^{2}{l}^{3}m}{{k}^{3}{l}^{ -5}{m}^{4}}}right)^{-2}$

$= left({3{k}^{(2 - 3)}{l}^{(3 - ( -5))}{m}^{(1 - 4)}}right)^{-2}$

$= left({ 3{k}^{-1}{l}^{8}{m}^{-3}}right)^{-2}$

$= {{3}^{(1 times (-2))}{k}^{(-1 times (-2))}{l}^{(8 times (-2))}{m}^{(-3 times (-2))}}$

$= {{3}^{-2}{k}^{2}{l}^{-16}{m}^{6}}$

Jika k = 3 ; l = 3 ; dan m = 4, maka :

${3}^{-2}{2}^{2}{3}^{-16}{4}^{6}$

$= {3}^{-2}{2}^{2}{3}^{-16}({{2}^{2}})^{6}$

$= {3}^{-2}{2}^{2}{3}^{-16}{2}^{(2 times 6)}$

$= {3}^{-2}{2}^{2}{3}^{-16}{2}^{12}$

$= {2}^{(2 + 12)}{3}^{(-2 + (-16))}$

$= {2}^{14}{3}^{14}$

$= {(2 times 3)}^{14}$

$= boxed{boxed{{6}^{14}}}$