Pertanyaan

Sederhanakan bentuk akar berikut ini ( a 4 b 2 c 3 a 2 b 4 c 2 ) 3 !

Sederhanakan bentuk akar berikut ini $(\frac{a ^{2} b ^{4} c ^{2}}{a ^{4} b ^{2} c ^{3}})^{3}$ !

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk sederhana dari .

bentuk sederhana dari $open parentheses fraction numerator straight a squared straight b to the power of 4 straight c squared over denominator straight a to the power of 4 straight b squared straight c cubed end fraction close parentheses cubed table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses fraction numerator straight b to the power of 6 over denominator straight a to the power of 6 times straight c cubed end fraction close parentheses end cell end table$ .

Pembahasan

Jadi bentuk sederhana dari .

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator straight a squared straight b to the power of 4 straight c squared over denominator straight a to the power of 4 straight b squared straight c cubed end fraction close parentheses cubed end cell equals cell open parentheses fraction numerator straight a to the power of 2 times 3 end exponent times straight b to the power of 4 times 3 end exponent times straight c to the power of 2 times 3 end exponent over denominator straight a to the power of 4 times 3 end exponent times straight b to the power of 2 times 3 end exponent times straight c to the power of 3 times 3 end exponent end fraction close parentheses end cell row blank equals cell open parentheses fraction numerator straight a to the power of 6 times straight b to the power of 12 times straight c to the power of 6 over denominator straight a to the power of 12 times straight b to the power of 6 times straight c to the power of 9 end fraction close parentheses end cell row blank equals cell open parentheses straight a to the power of 6 minus 12 end exponent times straight b to the power of 12 minus 6 end exponent times straight c to the power of 6 minus 9 end exponent close parentheses end cell row blank equals cell open parentheses straight a to the power of negative 6 end exponent times straight b to the power of 6 times straight c to the power of negative 3 end exponent close parentheses end cell row blank equals cell open parentheses fraction numerator straight b to the power of 6 over denominator straight a to the power of 6 times straight c cubed end fraction close parentheses end cell end table$

Jadi bentuk sederhana dari $open parentheses fraction numerator straight a squared straight b to the power of 4 straight c squared over denominator straight a to the power of 4 straight b squared straight c cubed end fraction close parentheses cubed table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell open parentheses fraction numerator straight b to the power of 6 over denominator straight a to the power of 6 times straight c cubed end fraction close parentheses end cell end table$ .