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Pertanyaan

1. Diketahui p = 9 , q = 16 , dan r = 36. Nilai dari ( p − 3 1 ​ q − 2 1 ​ r ) 2 3 ​ adalah...

1. Diketahui  Nilai dari  adalah...space space 

  1. 1space 

  2. 3space  

  3. 9space 

  4. 12space 

  5. 18space 

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah C.

jawaban yang benar adalah C. space  

Pembahasan

Pembahasan
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Sifat bilangan berpangkat yang digunakan: Perhatikan penghitungan berikut! Oleh karena itu, jawaban yang benar adalah C.

Sifat bilangan berpangkat yang digunakan:
1. space open parentheses a to the power of m close parentheses to the power of n equals a to the power of m n end exponent 2. space a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent 3. space a to the power of negative m end exponent equals 1 over a to the power of m 

Perhatikan penghitungan berikut!

         open parentheses p to the power of negative 1 third end exponent times q to the power of negative 1 half end exponent times r close parentheses to the power of 3 over 2 end exponent equals p to the power of negative 1 third cross times 3 over 2 end exponent times q to the power of negative 1 half cross times 3 over 2 end exponent times r to the power of 3 over 2 end exponent equals p to the power of negative 1 half end exponent times q to the power of negative 3 over 4 end exponent times r to the power of 3 over 2 end exponent equals 9 to the power of negative 1 half end exponent times 16 to the power of negative 3 over 4 end exponent times 36 to the power of 3 over 2 end exponent equals left parenthesis 3 squared right parenthesis to the power of negative 1 half end exponent times left parenthesis 2 to the power of 4 right parenthesis to the power of negative 3 over 4 end exponent times left parenthesis 6 squared right parenthesis to the power of 3 over 2 end exponent equals 3 to the power of 2 open parentheses negative 1 half close parentheses end exponent times 2 to the power of 4 open parentheses negative 3 over 4 close parentheses end exponent times 6 to the power of 2 open parentheses 3 over 2 close parentheses end exponent equals 3 to the power of negative 1 end exponent times 2 to the power of negative 3 end exponent times 6 cubed equals 3 to the power of negative 1 end exponent times 2 to the power of negative 3 end exponent times open parentheses 2 times 3 close parentheses cubed equals 3 to the power of negative 1 end exponent times 2 to the power of negative 3 end exponent times 2 cubed times 3 cubed equals 3 to the power of negative 1 plus 3 end exponent times 2 to the power of negative 3 plus 3 end exponent equals 3 squared times 2 to the power of 0 equals 9 times 1 equals 9    space 

Oleh karena itu, jawaban yang benar adalah C. space  

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