Iklan

Iklan

Pertanyaan

Jika 3 9 27 ​ ​ ​ = 3 y x ​ , maka nilai x + y adalah ....

Jika  , maka nilai adalah .... 
 

  1. 11

  2. 15

  3. 18

  4. 19

Iklan

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah D.

jawaban yang benar adalah D.

Iklan

Pembahasan

Pembahasan
lock

Pada bentuk akar, berlaku aturan Maka, Di dapatkan dan . Maka, Jadi,nilai adalah . Oleh karena itu, jawaban yang benar adalah D.

Pada bentuk akar, berlaku aturan

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of a end cell equals cell a to the power of 1 half end exponent end cell row cell square root of a to the power of m end root end cell equals cell a to the power of m over 2 end exponent end cell row cell n-th root of a to the power of m end root end cell equals cell a to the power of m over n end exponent end cell row cell open parentheses a to the power of m close parentheses to the power of n end cell equals cell a to the power of m n end exponent end cell end table

Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell square root of 3 square root of 9 square root of 27 end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 square root of 3 squared square root of 3 cubed end root end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 square root of 3 squared open parentheses 3 to the power of 3 over 2 end exponent close parentheses end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 square root of 3 to the power of 2 plus 3 over 2 end exponent end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 square root of 3 to the power of 4 over 2 plus 3 over 2 end exponent end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 square root of 3 to the power of 7 over 2 end exponent end root end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 open parentheses 3 to the power of 7 over 2 divided by 2 end exponent close parentheses end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 open parentheses 3 to the power of 7 over 2 cross times 1 half end exponent close parentheses end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 open parentheses 3 to the power of 7 over 4 end exponent close parentheses end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 1 plus 7 over 4 end exponent end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 4 over 4 plus 7 over 4 end exponent end root end cell equals cell 3 to the power of x over y end exponent end cell row cell square root of 3 to the power of 11 over 4 end exponent end root end cell equals cell 3 to the power of x over y end exponent end cell row cell open parentheses 3 to the power of 11 over 4 end exponent close parentheses to the power of 1 half end exponent end cell equals cell 3 to the power of x over y end exponent end cell row cell open parentheses 3 to the power of 11 over 4 cross times 1 half end exponent close parentheses end cell equals cell 3 to the power of x over y end exponent end cell row cell 3 to the power of 11 over 8 end exponent end cell equals cell 3 to the power of x over y end exponent end cell row cell x over y end cell equals cell 11 over 8 end cell end table

Di dapatkan x equals 11 dan y equals 8. Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell straight x plus straight y end cell equals cell 11 plus 8 end cell row blank equals 19 end table

Jadi,  nilai x plus y adalah 19.


Oleh karena itu, jawaban yang benar adalah D.

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

2

Keisha Tabita

Pembahasan lengkap banget Ini yang aku cari! Makasih ❤️

Siti Lorenza Nur Fadilla

Makasih ❤️ Mudah dimengerti Pembahasan lengkap banget

Lutfiah Choirunnisa

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

Iklan

Iklan

Pertanyaan serupa

Sederhanakanlah bentuk akar bilangan berikut! 10 + 2 21 ​ ​

5

4.8

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

[email protected]

Contact 02140008000

02140008000

Ikuti Kami

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