Sederhanakan bentuk (p^-4 q^-3)^3 / (p^-3 q^-2 r^3)^-4

Sederhanakan bentuk (p^-4 q^-3)^3 / (p^-3 q^-2 r^3)^-4

$frac{( { {p}^{ - 4} {q}^{ - 3}) }^{3} }{( { {p}^{ - 3} {q}^{ - 2} {r}^{3} )}^{ - 4} }$

$= frac{( {p}^{( - 4) times 3} {q}^{( - 3) times 3} )}{( {p}^{( - 3) times ( - 4)} {q}^{( - 2) times ( - 4)} {r}^{3 times ( - 4)} )}$

$= frac{( {p}^{ - 12} {q}^{ - 9} ) }{( {p}^{12} {q}^{8} {r}^{ - 12} )}$

$= frac{1}{ {p}^{12 - (12)} {q}^{8 - ( - 9)} {r}^{ - 12} }$

$= frac{1}{ {p}^{24} {q}^{17} {r}^{ - 12} }$

$= frac{ {r}^{12} }{ {p}^{24} {q}^{17} }$