Pertanyaan

Bentuk sederhana dari ( x yz x − 3 y 4 z ) 5 adalah ....

Bentuk sederhana dari $(\frac{x ^{- 3} y ^{4} z}{x yz})^{5}$ adalah $....$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .atau

bentuk sederhana dari $begin mathsize 14px style open parentheses fraction numerator x to the power of negative 3 end exponent y to the power of 4 z over denominator x y z end fraction close parentheses to the power of 5 end style$ adalah x to the power of negative 20 end exponent y to the power of 15

x to the power of negative 20 end exponent y to the power of 15

.atau

y to the power of 15 over x to the power of 20

Pembahasan

Sifat bilangan berpangkat Maka Jadi, bentuk sederhana dari adalah .atau

Sifat bilangan berpangkat

Maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator x to the power of negative 3 end exponent y to the power of 4 z over denominator x y z end fraction close parentheses to the power of 5 end cell equals cell fraction numerator x to the power of negative 3 times 5 end exponent y to the power of 4 times 5 end exponent z to the power of 1 times 5 end exponent over denominator x to the power of 1 times 5 end exponent y to the power of 1 times 5 end exponent z to the power of 1 times 5 end exponent end fraction end cell row blank equals cell fraction numerator x to the power of negative 15 end exponent y to the power of 20 z to the power of 5 over denominator x to the power of 5 y to the power of 5 z to the power of 5 end fraction end cell row blank equals cell x to the power of negative 15 minus 5 end exponent y to the power of 20 minus 5 end exponent z to the power of 5 minus 5 end exponent end cell row blank equals cell x to the power of negative 20 end exponent y to the power of 15 end cell end table$

Jadi, bentuk sederhana dari $begin mathsize 14px style open parentheses fraction numerator x to the power of negative 3 end exponent y to the power of 4 z over denominator x y z end fraction close parentheses to the power of 5 end style$ adalah x to the power of negative 20 end exponent y to the power of 15 .atau y to the power of 15 over x to the power of 20