Iklan

Iklan

Pertanyaan

Sederhanakan operasi hitung berikut! a. a x − y × a x + y ÷ a 2 x b. ( a + b ) − 4 3 ​ × ( a + b ) 8 1 ​ ÷ ( a + b ) 2 1 ​

Sederhanakan operasi hitung berikut!

a.
b.

Iklan

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

hasil dari , dan .

hasil dari  a to the power of x minus y end exponent cross times a to the power of x plus y end exponent divided by a to the power of 2 x end exponent equals 1, dan open parentheses a plus b close parentheses to the power of negative 3 over 4 end exponent cross times open parentheses a plus b close parentheses to the power of 1 over 8 end exponent divided by open parentheses a plus b close parentheses to the power of 1 half end exponent equals fraction numerator 1 over denominator root index 8 of left parenthesis a plus b right parenthesis to the power of 9 end root end fraction .

Iklan

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut. dimana . Berdasarkan sifat-sifat di atas, maka: a) b) Dengan demikian, hasil dari , dan .

Ingatlah sifat-sifat bilangan berpangkat berikut.

left parenthesis straight i right parenthesis space 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 left parenthesis ii right parenthesis space 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 left parenthesis iii right parenthesis space a to the power of negative m end exponent equals 1 over a to the power of m left parenthesis iv right parenthesis space a to the power of 0 equals 1 left parenthesis straight v right parenthesis space a to the power of m over n end exponent equals n-th root of a to the power of m end root 

dimana a not equal to 0.

Berdasarkan sifat-sifat di atas, maka:

a)

table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of x minus y end exponent cross times a to the power of x plus y end exponent divided by a to the power of 2 x end exponent end cell equals cell a to the power of left parenthesis x minus y right parenthesis plus left parenthesis x plus y right parenthesis end exponent divided by a to the power of 2 x end exponent end cell row blank equals cell a to the power of 2 x end exponent divided by a to the power of 2 x end exponent end cell row blank equals cell a to the power of 2 x minus 2 x end exponent end cell row blank equals cell a to the power of 0 end cell row blank equals 1 end table 

b)

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a plus b close parentheses to the power of negative 3 over 4 end exponent cross times open parentheses a plus b close parentheses to the power of 1 over 8 end exponent divided by open parentheses a plus b close parentheses to the power of 1 half end exponent end cell equals cell open parentheses a plus b close parentheses to the power of negative 3 over 4 plus 1 over 8 end exponent divided by open parentheses a plus b close parentheses to the power of 1 half end exponent end cell row blank equals cell open parentheses a plus b close parentheses to the power of fraction numerator negative 6 plus 1 over denominator 8 end fraction end exponent divided by open parentheses a plus b close parentheses to the power of 1 half end exponent end cell row blank equals cell open parentheses a plus b close parentheses to the power of negative 5 over 8 end exponent divided by open parentheses a plus b close parentheses to the power of 1 half end exponent end cell row blank equals cell open parentheses a plus b close parentheses to the power of negative 5 over 8 minus 1 half end exponent end cell row blank equals cell open parentheses a plus b close parentheses to the power of fraction numerator negative 5 minus 4 over denominator 8 end fraction end exponent end cell row blank equals cell open parentheses a plus b close parentheses to the power of negative 9 over 8 end exponent end cell row blank equals cell 1 over open parentheses a plus b close parentheses to the power of begin display style 9 over 8 end style end exponent end cell row blank equals cell fraction numerator 1 over denominator root index 8 of left parenthesis a plus b right parenthesis to the power of 9 end root end fraction end cell end table 

Dengan demikian, hasil dari  a to the power of x minus y end exponent cross times a to the power of x plus y end exponent divided by a to the power of 2 x end exponent equals 1, dan open parentheses a plus b close parentheses to the power of negative 3 over 4 end exponent cross times open parentheses a plus b close parentheses to the power of 1 over 8 end exponent divided by open parentheses a plus b close parentheses to the power of 1 half end exponent equals fraction numerator 1 over denominator root index 8 of left parenthesis a plus b right parenthesis to the power of 9 end root end fraction .

Latihan Bab

Konsep Kilat

Pengertian Bilangan Berpangkat

Sifat Bilangan Berpangkat

Persamaan Bilangan Berpangkat

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

832

Arlin Baaka

Kak dapat -6 nya dari mana

Stefanny Arthalia

Pembahasan lengkap banget Ini yang aku cari! Mudah dimengerti Bantu banget Makasih ❤️

Iklan

Iklan

Pertanyaan serupa

Sebutkan sifat-sifat eksponen.

895

4.4

Jawaban terverifikasi

Iklan

Iklan

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

Fitur Roboguru

Topik Roboguru

Hubungi Kami

Ruangguru WhatsApp

081578200000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2023 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia