Pertanyaan

Hasil dari ( 9 3 1 ) − 6 adalah ...

Hasil dari $(9^{\frac{1}{3}})^{- 6}$ adalah ...

G. Albiah

Master Teacher

Mahasiswa/Alumni Universitas Galuh Ciamis

Jawaban terverifikasi

Jawaban

jawaban yang benar adlaah D.

Pembahasan

Pada bilangan eksponen, berlaku aturan Maka, Jadi, hasil dari adalah . Oleh karena itu, jawaban yang benar adlaah D.

Pada bilangan eksponen, berlaku aturan

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a to the power of n close parentheses to the power of m end cell equals cell a to the power of m n end exponent end cell row cell a to the power of negative n end exponent end cell equals cell 1 over a to the power of n end cell end table

Maka,

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 9 to the power of 1 third end exponent close parentheses to the power of negative 6 end exponent end cell equals cell open square brackets open parentheses 3 squared close parentheses to the power of 1 third end exponent close square brackets to the power of negative 6 end exponent end cell row blank equals cell open square brackets 3 to the power of 2 cross times 1 third end exponent close square brackets to the power of negative 6 end exponent end cell row blank equals cell open square brackets 3 to the power of 2 over 3 end exponent close square brackets to the power of negative 6 end exponent end cell row blank equals cell 3 to the power of fraction numerator 2 cross times open parentheses negative 6 close parentheses over denominator 3 end fraction end exponent end cell row blank equals cell 3 to the power of fraction numerator negative 12 over denominator 3 end fraction end exponent end cell row blank equals cell 3 to the power of negative 4 end exponent end cell row blank equals cell 1 over 3 to the power of 4 end cell row blank equals cell 1 over 81 end cell end table$

Jadi, hasil dari open parentheses 9 to the power of 1 third end exponent close parentheses to the power of negative 6 end exponent adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 over 81 end cell end table .

Oleh karena itu, jawaban yang benar adlaah D.