Tentukan bentuk sederhana dari

$: : : : rm dfrac{ left( 5 {x}^{ - 1} {y}^{2} right){ left(4 {x}^{2} {y}^{3} right) }^{2} }{ {left(2x {y}^{ - 2} right) }^{3} }$

Tentukan bentuk sederhana dari

$rm frac{ left( 5 {x}^{ - 1} {y}^{2} right){ left(4 {x}^{2} {y}^{3} right) }^{2} }{ {left(2x {y}^{ - 2} right) }^{3} }$

$= rm frac{ left( 5 {x}^{ - 1} {y}^{2} right){ left(16{x}^{4} {y}^{6} right) }}{ {left(8 {x}^{3} {y}^{ - 6} right)}}$

$= rmfrac{(5 times 16) times ( {x}^{ - 1 + 4} ) times ( {y}^{2 + 6} )}{(8 {x}^{3} {y}^{ - 6}) }$

$rm = frac{80 {x}^{3} {y}^{8} }{8 {x}^{3} {y}^{ - 6} }$

$rm =(80 div 8) times ( {x}^{3 - 3} ) times ( {y}^{8 - ( - 6)})$

$rm = 10 times {x}^{0} times {y}^{14}$

$rm = 10 times 1 times {y}^{14}$

$rm = {10y}^{14}$

Gambar Jawaban

$rm dfrac{ left( 5 {x}^{ - 1} {y}^{2} right){ left(4 {x}^{2} {y}^{3} right) }^{2} }{ {left(2x {y}^{ - 2} right) }^{3} }$

$= frac{( {5x}^{ - 1} {y}^{2} )( {4²x}^{3.2} {y}^{2.3}) }{ {2}^{3} {x}^{3} {y}^{ - 2.3} }$

$= frac{( {5x}^{ - 1} {y}^{2})( {2}^{2²} {x}^{4} {y}^{ 6} ) }{ {2}^{3} {x}^{3} {y}^{ { - 6}} }$

$= ( {5})( {2}^{4 - 3} {x}^{( 3-3} {y}^{2+ 6- (-6} )$

$= ({5})( {2}^{ 1} {x}^{0} {y}^{8+6} )$

$= (5)( {2}^{ 1} {y}^{14})$

$= (5)( 2{y}^{14})$

$= 10 {y}^{14}$

Gambar Jawaban