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Bentuk sederhana dari  adalah ...

Pertanyaan

Bentuk sederhana dari open parentheses fraction numerator 12 a cubed b squared over denominator 4 a b to the power of 5 end fraction close parentheses to the power of negative 1 end exponent adalah ...

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

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

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

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

Pembahasan Soal:

Mencari bentuk sederhana dari open parentheses fraction numerator 12 a cubed b squared over denominator 4 a b to the power of 5 end fraction close parentheses to the power of negative 1 end exponent:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 12 a cubed b squared over denominator 4 a b to the power of 5 end fraction close parentheses to the power of negative 1 end exponent end cell equals cell open parentheses 12 over 4 times fraction numerator a cubed b squared over denominator a b to the power of 5 end fraction close parentheses to the power of negative 1 end exponent end cell row blank equals cell open parentheses 3 times a to the power of 3 minus 1 end exponent b to the power of 2 minus 5 end exponent close parentheses to the power of negative 1 end exponent end cell row blank equals cell open parentheses 3 a squared b to the power of negative 3 end exponent close parentheses to the power of negative 1 end exponent end cell row blank equals cell 3 to the power of negative 1 end exponent a to the power of negative 2 end exponent b cubed end cell row blank equals cell fraction numerator b cubed over denominator 3 a squared end fraction end cell end table 

Jadi, bentuk sederhana dari open parentheses fraction numerator 12 a cubed b squared over denominator 4 a b to the power of 5 end fraction close parentheses to the power of negative 1 end exponent adalah fraction numerator b cubed over denominator 3 a squared end fraction.

Dengan demikian, jawaban yang tepat adalah A.

Pembahasan terverifikasi oleh Roboguru

Dijawab oleh:

S. Yoga

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Terakhir diupdate 06 Juni 2021

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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Pertanyaan yang serupa

Dengan menggunakan tanda , atau  nyatakan perbandingan masing-masing bilangan berikut. e.

Pembahasan Soal:

Kita akan menentukan hubungan 300 to the power of 301 space... space 301 to the power of 300 dengan menggunakan pemisalan sebagai berikut :

a to the power of a plus 1 end exponent... open parentheses a plus 1 close parentheses to the power of a

kita misalkan a equals 3, maka diperoleh:

table attributes columnalign right center left columnspacing 2px end attributes row cell 3 to the power of 3 plus 1 end exponent end cell cell... end cell cell left parenthesis 3 plus 1 right parenthesis cubed end cell row cell 3 to the power of 4 end cell cell... end cell cell 4 cubed end cell row 81 cell... end cell 64 row 81 greater than 64 end table

sedemikian sehingga : 

a to the power of a plus 1 end exponent greater than open parentheses a plus 1 close parentheses to the power of a,

Jika a equals 300, maka diperoleh:

table attributes columnalign right center left columnspacing 2px end attributes row cell 300 to the power of 300 plus 1 end exponent end cell greater than cell left parenthesis 300 plus 1 right parenthesis to the power of 300 end cell row cell 300 to the power of 301 end cell greater than cell 301 to the power of 300 end cell end table

Jadi, table attributes columnalign right center left columnspacing 2px end attributes row cell 300 to the power of 301 end cell greater than cell 301 to the power of 300 end cell end table.

1

Roboguru

Bentuk sederhana dari  adalah ... .

Pembahasan Soal:

Mencari bentuk sederhana dari open parentheses fraction numerator 12 a cubed b squared over denominator 4 a b to the power of 5 end fraction close parentheses to the power of negative 1 end exponent:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 12 a cubed b squared over denominator 4 a b to the power of 5 end fraction close parentheses to the power of negative 1 end exponent end cell equals cell open parentheses 12 over 4 times fraction numerator a cubed b squared over denominator a b to the power of 5 end fraction close parentheses to the power of negative 1 end exponent end cell row blank equals cell open parentheses 3 times a to the power of 3 minus 1 end exponent b to the power of 2 minus 5 end exponent close parentheses to the power of negative 1 end exponent end cell row blank equals cell open parentheses 3 a squared b to the power of negative 3 end exponent close parentheses to the power of negative 1 end exponent end cell row blank equals cell 3 to the power of negative 1 end exponent a to the power of negative 2 end exponent b cubed end cell row blank equals cell fraction numerator b cubed over denominator 3 a squared end fraction end cell end table 

Jadi, bentuk sederhana dari open parentheses fraction numerator 12 a cubed b squared over denominator 4 a b to the power of 5 end fraction close parentheses to the power of negative 1 end exponent adalah fraction numerator b cubed over denominator 3 a squared end fraction.

Dengan demikian, jawaban yang tepat adalah A.

0

Roboguru

Bentuk sederhana dari  adalah ...

Pembahasan Soal:

Mencari 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:

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 1 over 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 squared end cell row blank equals cell fraction numerator 1 over denominator open parentheses fraction numerator p to the power of 10 q to the power of negative 10 end exponent over denominator p to the power of 18 q to the power of negative 2 end exponent end fraction close parentheses end fraction end cell row blank equals cell fraction numerator 1 over denominator p to the power of negative 8 end exponent q to the power of negative 8 end exponent end fraction 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 end cell end table  

Jadi, 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.

Dengan demikian, jawaban yang tepat adalah A.

0

Roboguru

Bentuk sederhana dari  adalah ...

Pembahasan Soal:

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 fraction numerator p to the power of 5 times left parenthesis negative 2 right parenthesis end exponent times q to the power of left parenthesis negative 5 right parenthesis times left parenthesis negative 2 right parenthesis end exponent over denominator p to the power of 9 times left parenthesis negative 2 right parenthesis end exponent times q to the power of left parenthesis negative 1 right parenthesis times left parenthesis negative 2 right parenthesis end exponent end fraction close parentheses end cell row blank equals cell open parentheses fraction numerator p to the power of negative 10 end exponent times q to the power of 10 over denominator p to the power of negative 18 end exponent times q squared end fraction close parentheses end cell row blank equals cell open parentheses p to the power of left parenthesis negative 10 right parenthesis plus 18 end exponent times q to the power of 10 minus 2 end exponent close parentheses end cell row blank equals cell open parentheses p to the power of 8 times q to the power of 8 close parentheses end cell row blank equals cell open parentheses p times q close parentheses to the power of 8 end cell end table


Oleh karena itu, jawaban yang benar adalah A.

0

Roboguru

Dengan menggunakan tanda , atau  nyatakan perbandingan masing-masing bilangan berikut. b.

Pembahasan Soal:

Untuk menentukan hubungan 10 to the power of 8 space... space 8 to the power of 10 maka kita misalkan :

table attributes columnalign right center left columnspacing 2px end attributes row cell a to the power of b end cell cell... end cell cell space b to the power of a end cell end table

dengan syarat a greater than b dan a minus b equals 2 . 

Karena 10 dan 8 memiliki selisih 2 maka kita misalkan a = 5 dan b = 3 yang dimana a dan b memiliki selisih 2 juga, maka diperoleh

table attributes columnalign right center left columnspacing 2px end attributes row cell 5 cubed end cell cell... end cell cell 3 to the power of 5 end cell row 125 cell... end cell 243 row 125 less than 243 end table

Sedemikian sehingga,

a to the power of b less than b to the power of a comma space s y a r a t space a greater than b space d a n space a minus b equals 2.

Maka diperoleh :

10 to the power of 8 less than 8 to the power of 10 comma space d e n g a n space 10 space greater than 8 space & space 10 minus 8 equals 2

Jadi, tanda yang tepat untuk menyatakan perbandingan berikut adalah 10 to the power of 8 less than 8 to the power of 10.

1

Roboguru

Roboguru sudah bisa jawab 91.4% pertanyaan dengan benar

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