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Hasil dari adalah ...

Pertanyaan

Hasil dari open parentheses 27 to the power of 2 over 5 end exponent close parentheses to the power of 5 over 6 end exponent cross times open parentheses 32 to the power of 2 over 3 end exponent close parentheses to the power of 3 over 5 end exponent adalah ...

  1. 3

  2. 4

  3. 12

  4. 16

Pembahasan Soal:

Ingatlah sifat bilangan berpangkat berikut.

open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent

Berdasarkan sifat tersebut, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 27 to the power of 2 over 5 end exponent close parentheses to the power of 5 over 6 end exponent cross times open parentheses 32 to the power of 2 over 3 end exponent close parentheses to the power of 3 over 5 end exponent end cell equals cell 27 to the power of fraction numerator 2 over denominator up diagonal strike 5 end fraction cross times fraction numerator up diagonal strike 5 over denominator 6 end fraction end exponent cross times 32 to the power of fraction numerator 2 over denominator up diagonal strike 3 end fraction cross times fraction numerator up diagonal strike 3 over denominator 5 end fraction end exponent end cell row blank equals cell 27 to the power of 2 over 6 end exponent cross times 32 to the power of 2 over 5 end exponent end cell row blank equals cell 27 to the power of 1 third end exponent cross times 32 to the power of 2 over 5 end exponent end cell row blank equals cell open parentheses 3 cubed close parentheses to the power of 1 third end exponent cross times open parentheses 2 to the power of 5 close parentheses to the power of 2 over 5 end exponent end cell row blank equals cell 3 to the power of up diagonal strike 3 cross times fraction numerator 1 over denominator up diagonal strike 3 end fraction end exponent cross times 2 to the power of up diagonal strike 5 cross times fraction numerator 2 over denominator up diagonal strike 5 end fraction end exponent end cell row blank equals cell 3 cross times 2 squared end cell row blank equals cell 3 cross times 4 end cell row blank equals 12 end table

Dengan demikian, hasil dari open parentheses 27 to the power of 2 over 5 end exponent close parentheses to the power of 5 over 6 end exponent cross times open parentheses 32 to the power of 2 over 3 end exponent close parentheses to the power of 3 over 5 end exponent adalah 12.

Oleh karena itu, jawaban yang benar adalah C.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 23 Juli 2021

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