Roboguru
SD

Hasil dari (35b224ab−4​)−1(3a−1b22a−2b−1​)2 adalah ...

Pertanyaan

Hasil dari open parentheses fraction numerator 2 to the power of 4 a b to the power of negative 4 end exponent over denominator 3 to the power of 5 b squared end fraction close parentheses to the power of negative 1 end exponent open parentheses fraction numerator 2 squared a to the power of negative 2 end exponent b to the power of negative 1 end exponent over denominator 3 a to the power of negative 1 end exponent b end fraction close parentheses squared adalah ... 

  1. fraction numerator b squared over denominator 3 cubed a cubed end fraction 

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

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

  4. fraction numerator 3 cubed a squared over denominator b cubed end fraction 

  5. fraction numerator 3 cubed b squared over denominator a cubed end fraction 

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Ingat : 

  • a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent 
  • a to the power of m divided by a to the power of n equals a to the power of m minus n end exponent 
  • open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent 

Perhatikan perhitungan berikut 

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 2 to the power of 4 a b to the power of negative 4 end exponent over denominator 3 to the power of 5 b squared end fraction close parentheses to the power of negative 1 end exponent open parentheses fraction numerator 2 squared a to the power of negative 2 end exponent b to the power of negative 1 end exponent over denominator 3 a to the power of negative 1 end exponent b end fraction close parentheses squared end cell equals cell fraction numerator 2 to the power of negative 4 end exponent a to the power of negative 1 end exponent b to the power of 4 over denominator 3 to the power of negative 5 end exponent b to the power of negative 2 end exponent end fraction times fraction numerator 2 to the power of 4 a to the power of negative 4 end exponent b to the power of negative 2 end exponent over denominator 3 squared a to the power of negative 2 end exponent b squared end fraction end cell row blank equals cell fraction numerator 2 to the power of negative 4 plus 4 end exponent a to the power of negative 1 plus open parentheses negative 4 close parentheses end exponent b to the power of 4 plus open parentheses negative 2 close parentheses end exponent over denominator 3 to the power of negative 5 plus 2 end exponent times a to the power of negative 2 end exponent times b to the power of negative 2 plus 2 end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of 0 times a to the power of negative 5 end exponent times b squared over denominator 3 to the power of negative 3 end exponent times a to the power of negative 2 end exponent times b to the power of 0 end fraction end cell row blank equals cell 1 over 3 to the power of negative 3 end exponent a to the power of negative 5 minus open parentheses negative 2 close parentheses end exponent times b to the power of 2 minus 0 end exponent end cell row blank equals cell 3 cubed times a to the power of negative 3 end exponent times b squared end cell row blank equals cell fraction numerator 3 cubed b squared over denominator a cubed end fraction end cell end table 

Oleh karena itu, jawaban yang benar adalah E.

81

5.0 (1 rating)

Pertanyaan serupa

Tentukan hasil pemangkatan berikut! d. (−5a−2)−3 e. (2a2b3)−6 f. (3a3b−4)−5

89

5.0

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