RoboguruRoboguru
SD

Bentuk sederhana dari (p9q−1p5q−5​)−2 adalah... .

Pertanyaan

Bentuk sederhana dari open parentheses fraction numerator p to the power of 5 q to the power of negative 5 end exponent over denominator p to the power of 9 q to the power of negative 1 end exponent end fraction close parentheses to the power of negative 2 end exponent adalah... .

  1. open parentheses p q close parentheses to the power of 8 

  2. open parentheses p q close parentheses to the power of 4 

  3. p q 

  4. open parentheses p q close parentheses to the power of negative 2 end exponent 

  5. open parentheses p q close parentheses to the power of negative 8 end exponent 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

Pembahasan

Dengan menggunakan sifat-sifat bentuk eksponen berikut.

Untuk a comma b element of Ra not equal to 0b not equal to 0, dan m comma n element of R berlaku

  1. open parentheses a over b close parentheses to the power of n equals a to the power of n over b to the power of n 
  2. open parentheses a cross times b close parentheses to the power of m equals a to the power of m cross times b to the power of m
  3. open parentheses a to the power of m close parentheses to the power of n equals a to the power of m n end exponent
  4. a to the power of m over a to the power of n equals a to the power of m minus n end exponent

bentuk sederhana dari open parentheses fraction numerator p to the power of 5 q to the power of negative 5 end exponent over denominator p to the power of 9 q to the power of negative 1 end exponent end fraction close parentheses to the power of negative 2 end exponent sebagai berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator p to the power of 5 q to the power of negative 5 end exponent over denominator p to the power of 9 q to the power of negative 1 end exponent end fraction close parentheses to the power of negative 2 end exponent end cell equals cell open parentheses p to the power of 5 q to the power of negative 5 end exponent close parentheses to the power of negative 2 end exponent over open parentheses p to the power of 9 q to the power of negative 1 end exponent close parentheses to the power of negative 2 end exponent space space space space space space space space space space space space space space space Sifat space 1 end cell row blank equals cell fraction numerator open parentheses p to the power of 5 close parentheses to the power of negative 2 end exponent open parentheses q to the power of negative 5 end exponent close parentheses to the power of negative 2 end exponent over denominator open parentheses p to the power of 9 close parentheses to the power of negative 2 end exponent open parentheses q to the power of negative 1 end exponent close parentheses to the power of negative 2 end exponent end fraction space space space space space space space space space Sifat space 2 end cell row blank equals cell fraction numerator p to the power of negative 10 end exponent q to the power of 10 over denominator p to the power of negative 18 end exponent q squared end fraction space space space space space space space space space space space space space space space space space space Sifat space 3 end cell row blank equals cell p to the power of open parentheses negative 10 minus open parentheses negative 18 close parentheses close parentheses end exponent q to the power of 10 minus 2 end exponent space space space space Sifat space 4 end cell row blank equals cell p to the power of open parentheses negative 10 plus 18 close parentheses end exponent q to the power of 8 end cell row blank equals cell p to the power of 8 q to the power of 8 end cell row blank equals cell open parentheses p q close parentheses to the power of 8 space space space space space space space space space space space space space space space space space space space space space space space space end cell end table

Bentuk sederhana dari open parentheses fraction numerator p to the power of 5 q to the power of negative 5 end exponent over denominator p to the power of 9 q to the power of negative 1 end exponent end fraction close parentheses to the power of negative 2 end exponent adalah open parentheses p q close parentheses to the power of 8.

Oleh karena itu, jawaban yang benar adalah A.

103

0.0 (0 rating)

Pertanyaan serupa

Tentukan hasil pemangkatan berikut! g. (−5x3y5)−4 h. (−4x−5y4)−5

46

0.0

Jawaban terverifikasi

RUANGGURU HQ

Jl. Dr. Saharjo No.161, Manggarai Selatan, Tebet, Kota Jakarta Selatan, Daerah Khusus Ibukota Jakarta 12860

Coba GRATIS Aplikasi Roboguru

Coba GRATIS Aplikasi Ruangguru

Download di Google PlayDownload di AppstoreDownload di App Gallery

Produk Ruangguru

Produk Lainnya

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2022 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia