Iklan

Iklan

Pertanyaan

Tentukan hasil operasi bilangan berpangkat berikut! d. e. f. x 3 n − 5 ÷ x 2 n + 7

Tentukan hasil operasi bilangan berpangkat berikut!

d. 2 to the power of 4 divided by open parentheses 2 to the power of negative 9 end exponent cross times 2 to the power of 5 close parentheses
e. a to the power of 6 b to the power of negative 4 end exponent divided by a to the power of negative 2 end exponent b to the power of 5
f.

Iklan

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

hasil dari , , dan .

hasil dari  2 to the power of 4 divided by open parentheses 2 to the power of negative 9 end exponent cross times 2 to the power of 5 close parentheses equals 256, a to the power of 6 b to the power of negative 4 end exponent divided by a to the power of negative 2 end exponent b to the power of 5 equals a to the power of 8 over b to the power of 9, dan x to the power of 3 n minus 5 end exponent divided by x to the power of 2 n plus 7 end exponent equals x to the power of n minus 12 end exponent.

Iklan

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut. Berdasarkan sifat-sifat di atas, maka: d) e) f) 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

Berdasarkan sifat-sifat di atas, maka:

d)

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 to the power of 4 divided by open parentheses 2 to the power of negative 9 end exponent cross times 2 to the power of 5 close parentheses end cell equals cell 2 to the power of 4 divided by 2 to the power of negative 9 plus 5 end exponent end cell row blank equals cell 2 to the power of 4 divided by 2 to the power of negative 4 end exponent end cell row blank equals cell 2 to the power of 4 minus open parentheses negative 4 close parentheses end exponent end cell row blank equals cell 2 to the power of 4 plus 4 end exponent end cell row blank equals cell 2 to the power of 8 end cell row blank equals 256 end table

e)

table attributes columnalign right center left columnspacing 0px end attributes row cell a to the power of 6 b to the power of negative 4 end exponent divided by a to the power of negative 2 end exponent b to the power of 5 end cell equals cell a to the power of 6 minus open parentheses negative 2 close parentheses end exponent b to the power of negative 4 minus 5 end exponent end cell row blank equals cell a to the power of 6 plus 2 end exponent b to the power of negative 9 end exponent end cell row blank equals cell a to the power of 9 b to the power of negative 9 end exponent end cell row blank equals cell a to the power of 8 over b to the power of 9 end cell end table 

f)

table attributes columnalign right center left columnspacing 0px end attributes row cell x to the power of 3 n minus 5 end exponent divided by x to the power of 2 n plus 7 end exponent end cell equals cell x to the power of left parenthesis 3 n minus 5 right parenthesis minus open parentheses 2 n plus 7 close parentheses end exponent end cell row blank equals cell x to the power of 3 n minus 5 minus 2 n minus 7 end exponent end cell row blank equals cell x to the power of n minus 12 end exponent end cell end table 

Dengan demikian, hasil dari  2 to the power of 4 divided by open parentheses 2 to the power of negative 9 end exponent cross times 2 to the power of 5 close parentheses equals 256, a to the power of 6 b to the power of negative 4 end exponent divided by a to the power of negative 2 end exponent b to the power of 5 equals a to the power of 8 over b to the power of 9, dan x to the power of 3 n minus 5 end exponent divided by x to the power of 2 n plus 7 end exponent equals x to the power of n minus 12 end exponent.

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

1

Iklan

Iklan

Pertanyaan serupa

Sederhanakan 1 6 − 2 × ( 8 1 ​ ) − 3 : 4 2 : ( 2 1 ​ ) − 5

62

1.0

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

Hubungi Kami

Ruangguru WhatsApp

+62 815-7441-0000

Email info@ruangguru.com

info@ruangguru.com

Contact 02140008000

02140008000

Ikuti Kami

©2024 Ruangguru. All Rights Reserved PT. Ruang Raya Indonesia