(592​)65​=....

Pertanyaan

open parentheses fifth root of 9 squared end root close parentheses to the power of 5 over 6 end exponent equals....

  1. cube root of 3 

  2. cube root of 3 squared end root 

  3. square root of 3 

  4. 3 square root of 3 

  5. fourth root of 3 squared end root 

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Pembahasan

Jika diberikan suatu bilangan riil p dan bilangan rasional m space dan space n maka berlaku sifat-sifat berikut.

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

Sehingga dapat ditentukan hasil dari bentuk berikut.

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fifth root of 9 squared end root close parentheses to the power of 5 over 6 end exponent end cell equals cell open parentheses 9 to the power of 2 over 5 end exponent close parentheses to the power of 5 over 6 end exponent end cell row blank equals cell 9 to the power of 2 over 5 times 5 over 6 end exponent end cell row blank equals cell 9 to the power of 2 over 6 end exponent end cell row blank equals cell 9 to the power of 1 third end exponent end cell row blank equals cell cube root of 9 end cell row blank equals cell cube root of 3 squared end root end cell end table     

Sehingga diperoleh table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fifth root of 9 squared end root close parentheses to the power of 5 over 6 end exponent end cell equals cell cube root of 3 squared end root end cell end table.

Jadi, jawaban yang benar adalah B.

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