Roboguru

Jika a=0,b=0, dan c=0, maka bentuk sederhana dari (9a−8b3c23a−5bc4​)−1 adalah ....

Pertanyaan

Jika straight a not equal to 0 comma space straight b not equal to 0, dan straight c not equal to 0, maka bentuk sederhana dari open parentheses fraction numerator 3 straight a to the power of negative 5 end exponent bc to the power of 4 over denominator 9 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 adalah ....

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

  2. fraction numerator straight a cubed straight c squared over denominator 3 straight b squared end fraction 

  3. fraction numerator 3 straight b squared over denominator straight a cubed straight c squared end fraction 

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

  5. fraction numerator 3 straight b to the power of 6 over denominator straight a cubed straight c end fraction 

Pembahasan Video:

Pembahasan:

Ingar kembali:

straight a to the power of straight m over straight a to the power of straight n equals straight a to the power of straight m minus straight n end exponent open parentheses straight a to the power of straight m close parentheses to the power of straight n equals straight a to the power of straight m cross times straight n end exponent straight a to the power of negative 1 end exponent equals 1 over straight a 

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.

Jawaban terverifikasi

Dijawab oleh:

N. Puspita

Terakhir diupdate 07 Oktober 2021

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