Pertanyaan

Tentukan bentuk sederhana dari ( x − 2 y − 1 z 4 x 3 y 5 z − 3 ) 2

Tentukan bentuk sederhana dari $(\frac{x ^{3} y ^{5} z ^{- 3}}{x ^{- 2} y ^{- 1} z ^{4}})^{2}$

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $open parentheses fraction numerator x cubed y to the power of 5 z to the power of negative 3 end exponent over denominator x to the power of negative 2 end exponent y to the power of negative 1 end exponent z to the power of 4 end fraction close parentheses squared$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x to the power of 10 y to the power of 12 over denominator z to the power of 14 end fraction end cell end table$ .

Pembahasan

Pada bilangan berpangkat atau eksponen, berlaku aturan berikut Maka, Jadi,bentuk sederhana dari adalah .

Pada bilangan berpangkat atau eksponen, berlaku aturan berikut

Maka,

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator x cubed y to the power of 5 z to the power of negative 3 end exponent over denominator x to the power of negative 2 end exponent y to the power of negative 1 end exponent z to the power of 4 end fraction close parentheses squared end cell equals cell open square brackets open parentheses x to the power of 3 minus left parenthesis negative 2 right parenthesis end exponent y to the power of 5 minus left parenthesis negative 1 right parenthesis end exponent z to the power of negative 3 minus 4 end exponent close parentheses close square brackets squared end cell row blank equals cell open parentheses x to the power of 3 plus 2 end exponent y to the power of 5 plus 1 end exponent z to the power of negative 7 end exponent close parentheses squared end cell row blank equals cell open parentheses x to the power of 5 y to the power of 6 z to the power of negative 7 end exponent close parentheses squared end cell row blank equals cell x to the power of 10 y to the power of 12 z to the power of negative 14 end exponent end cell row blank equals cell fraction numerator x to the power of 10 y to the power of 12 over denominator z to the power of 14 end fraction end cell end table$

Jadi, bentuk sederhana dari $open parentheses fraction numerator x cubed y to the power of 5 z to the power of negative 3 end exponent over denominator x to the power of negative 2 end exponent y to the power of negative 1 end exponent z to the power of 4 end fraction close parentheses squared$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator x to the power of 10 y to the power of 12 over denominator z to the power of 14 end fraction end cell end table$ .