Pertanyaan

Jika a  = 0 , b  = 0 , dan c  = 0 , maka bentuk sederhana dari ( 9 a − 8 b 3 c 2 3 a − 5 bc 4 ) − 1 adalah ....

Jika $a \neq = 0, b \neq = 0$ , dan $c \neq = 0$ , maka bentuk sederhana dari $(\frac{3 a ^{- 5} bc ^{4}}{9 a ^{- 8} b ^{3} c ^{2}})^{- 1}$ adalah ....

$fraction numerator straight a to the power of 7 straight c squared over denominator 3 straight b to the power of 6 end fraction$
$fraction numerator straight a cubed straight c squared over denominator 3 straight b squared end fraction$
$fraction numerator 3 straight b squared over denominator straight a cubed straight c squared end fraction$
$fraction numerator 3 straight b to the power of 6 over denominator straight a to the power of 7 straight c squared end fraction$
$fraction numerator 3 straight b to the power of 6 over denominator straight a cubed straight c end fraction$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

Pembahasan

Ingar kembali: Maka: Jadi, jawaban yang benar adalah C.

Ingar kembali:

Maka:

$open parentheses fraction numerator 3 straight a to the power of negative 5 end exponent bc to the power of 4 over denominator 9 straight a to the power of negative 8 end exponent straight b cubed straight c squared end fraction close parentheses to the power of negative 1 end exponent equals open parentheses 3 over 9 times straight a to the power of negative 5 minus open parentheses negative 8 close parentheses end exponent times straight b to the power of 1 minus 3 end exponent times straight c to the power of 4 minus 2 end exponent close parentheses to the power of negative 1 end exponent open parentheses fraction numerator 3 straight a to the power of negative 5 end exponent bc to the power of 4 over denominator 9 straight a to the power of negative 8 end exponent straight b cubed straight c squared end fraction close parentheses to the power of negative 1 end exponent equals open parentheses 1 third times straight a cubed times straight b to the power of negative 2 end exponent times straight c squared close parentheses to the power of negative 1 end exponent open parentheses fraction numerator 3 straight a to the power of negative 5 end exponent bc to the power of 4 over denominator 9 straight a to the power of negative 8 end exponent straight b cubed straight c squared end fraction close parentheses to the power of negative 1 end exponent equals open parentheses 1 third close parentheses to the power of negative 1 end exponent times open parentheses straight a cubed close parentheses to the power of negative 1 end exponent times open parentheses straight b to the power of negative 2 end exponent close parentheses to the power of negative 1 end exponent times open parentheses straight c squared close parentheses to the power of negative 1 end exponent open parentheses fraction numerator 3 straight a to the power of negative 5 end exponent bc to the power of 4 over denominator 9 straight a to the power of negative 8 end exponent straight b cubed straight c squared end fraction close parentheses to the power of negative 1 end exponent equals 3 times straight a to the power of negative 3 end exponent times straight b squared times straight c to the power of negative 2 end exponent open parentheses fraction numerator 3 straight a to the power of negative 5 end exponent bc to the power of 4 over denominator 9 straight a to the power of negative 8 end exponent straight b cubed straight c squared end fraction close parentheses to the power of negative 1 end exponent equals 3 times 1 over straight a cubed times straight b squared times 1 over straight c squared open parentheses fraction numerator 3 straight a to the power of negative 5 end exponent bc to the power of 4 over denominator 9 straight a to the power of negative 8 end exponent straight b cubed straight c squared end fraction close parentheses to the power of negative 1 end exponent equals fraction numerator 3 straight b squared over denominator straight a cubed straight c squared end fraction$

Jadi, jawaban yang benar adalah C.