Pertanyaan

Bentuk sederhana dari ( 3 5 a − 7 b − 5 9 a − 5 b − 3 ) − 1 adalah... .

Bentuk sederhana dari $(\frac{9 a ^{- 5} b ^{- 3}}{3 ^{5} a ^{- 7} b ^{- 5}})^{- 1}$ adalah... .

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R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $open parentheses fraction numerator 9 a to the power of negative 5 end exponent b to the power of negative 3 end exponent over denominator 3 to the power of 5 a to the power of negative 7 end exponent b to the power of negative 5 end exponent end fraction close parentheses to the power of negative 1 end exponent$ adalah $fraction numerator 27 over denominator a squared b squared end fraction$ .

Pembahasan

Dengan menggunakan sifat eksponen berikut. Untuk dan berlaku: Bentuk sederhana dari sebagai berikut. Dengan demikian, bentuk sederhana dari adalah .

Dengan menggunakan sifat eksponen berikut.

Untuk a comma b element of R dan m comma n element of R berlaku:

Bentuk sederhana dari $open parentheses fraction numerator 9 a to the power of negative 5 end exponent b to the power of negative 3 end exponent over denominator 3 to the power of 5 a to the power of negative 7 end exponent b to the power of negative 5 end exponent end fraction close parentheses to the power of negative 1 end exponent$ sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 9 a to the power of negative 5 end exponent b to the power of negative 3 end exponent over denominator 3 to the power of 5 a to the power of negative 7 end exponent b to the power of negative 5 end exponent end fraction close parentheses to the power of negative 1 end exponent end cell equals cell open parentheses 9 a to the power of negative 5 end exponent b to the power of negative 3 end exponent close parentheses to the power of negative 1 end exponent over open parentheses 3 to the power of 5 a to the power of negative 7 end exponent b to the power of negative 5 end exponent close parentheses to the power of negative 1 end exponent space space space space space space space space space space space space space space left parenthesis Sifat space 1 right parenthesis end cell row blank equals cell fraction numerator 9 to the power of negative 1 end exponent open parentheses a to the power of negative 5 end exponent close parentheses to the power of negative 1 end exponent open parentheses b to the power of negative 3 end exponent close parentheses to the power of negative 1 end exponent over denominator open parentheses 3 to the power of 5 close parentheses to the power of negative 1 end exponent open parentheses a to the power of negative 7 end exponent close parentheses to the power of negative 1 end exponent open parentheses b to the power of negative 5 end exponent close parentheses to the power of negative 1 end exponent end fraction end cell row blank equals cell fraction numerator open parentheses 3 squared close parentheses to the power of negative 1 end exponent a to the power of 5 b cubed over denominator 3 to the power of negative 5 end exponent a to the power of 7 b to the power of 5 end fraction end cell row blank equals cell fraction numerator 3 to the power of negative 2 end exponent a to the power of 5 b cubed over denominator 3 to the power of negative 5 end exponent a to the power of 7 b to the power of 5 end fraction end cell row blank equals cell 3 to the power of negative 2 minus open parentheses negative 5 close parentheses end exponent a to the power of 5 minus 7 end exponent b to the power of 3 minus 5 end exponent space space space space space space space space left parenthesis Sifat space 2 right parenthesis end cell row blank equals cell 3 to the power of negative 2 plus 5 end exponent a to the power of negative 2 end exponent b to the power of negative 2 end exponent end cell row blank equals cell fraction numerator 3 cubed over denominator a squared b squared end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space left parenthesis Sifat space 3 right parenthesis end cell row blank equals cell fraction numerator 27 over denominator a squared b squared end fraction end cell end table$

Dengan demikian, bentuk sederhana dari $open parentheses fraction numerator 9 a to the power of negative 5 end exponent b to the power of negative 3 end exponent over denominator 3 to the power of 5 a to the power of negative 7 end exponent b to the power of negative 5 end exponent end fraction close parentheses to the power of negative 1 end exponent$ adalah $fraction numerator 27 over denominator a squared b squared end fraction$ .