Pertanyaan

Bentuk sederhana dari ( a 4 b − 6 c − 5 a 4 b − 5 c − 6 ) 3 adalah ....

Bentuk sederhana dari $(\frac{a ^{4} b ^{- 5} c ^{- 6}}{a ^{4} b ^{- 6} c ^{- 5}})^{3}$ adalah ....

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

Pembahasan

Ingat Kembali: Maka: Jadi, jawaban yang benar adalah D.

Ingat Kembali:

Maka:

$open parentheses fraction numerator straight a to the power of 4 straight b to the power of negative 5 end exponent straight c to the power of negative 6 end exponent over denominator straight a to the power of 4 straight b to the power of negative 6 end exponent straight c to the power of negative 5 end exponent end fraction close parentheses cubed equals open parentheses straight a to the power of 4 minus 4 end exponent times straight b to the power of negative 5 minus open parentheses negative 6 close parentheses end exponent times straight c to the power of negative 6 minus open parentheses negative 5 close parentheses end exponent close parentheses cubed space space space space space space space space space space space space space space space space space space space space space equals open parentheses straight a to the power of 0 times straight b to the power of 1 times straight c to the power of negative 1 end exponent close parentheses cubed space space space space space space space space space space space space space space space space space space space space space equals straight a to the power of 0 times straight b cubed times straight c to the power of negative 3 end exponent space space space space space space space space space space space space space space space space space space space space space equals 1 times 1 over straight b to the power of negative 3 end exponent times straight c to the power of negative 3 end exponent space space space space space space space space space space space space space space space space space space space space space equals straight c to the power of negative 3 end exponent over straight b to the power of negative 3 end exponent space space space space space space space space space space space space space space space space space space space space space equals open parentheses straight c over straight b close parentheses to the power of negative 3 end exponent$

Jadi, jawaban yang benar adalah D.