Nilai x pada persamaan  adalah ….

Pertanyaan

Nilai x pada persamaan open parentheses open parentheses 3 over 5 close parentheses squared close parentheses cubed equals open parentheses 5 over 3 close parentheses to the power of x adalah ….

  1. 6 

  2. negative 6 

  3. 5 

  4. negative 5 

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Pembahasan

Jawaban yang benar untuk pertanyaan tersebut adalah B.

Ingat sifat bilangan berpangkat berikut

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

Perhatikan perhitungan berikut

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses open parentheses 3 over 5 close parentheses squared close parentheses cubed end cell equals cell open parentheses 5 over 3 close parentheses to the power of x end cell row cell open parentheses 3 over 5 close parentheses to the power of 2 times 3 end exponent end cell equals cell open parentheses 5 over 3 close parentheses to the power of x end cell row cell open parentheses 3 over 5 close parentheses to the power of 6 end cell equals cell open parentheses 5 over 3 close parentheses to the power of x end cell row cell 3 to the power of 6 over 5 to the power of 6 end cell equals cell open parentheses 5 over 3 close parentheses to the power of x end cell row cell 5 to the power of negative 6 end exponent over 3 to the power of negative 6 end exponent end cell equals cell open parentheses 5 over 3 close parentheses to the power of x end cell row blank blank cell open parentheses 5 over 3 close parentheses to the power of negative 6 end exponent equals open parentheses 5 over 3 close parentheses to the power of x end cell row cell negative 6 end cell equals x end table

Dengan demikian, nilai x adalah negative 6.
Jadi, jawaban yang benar adalah B.

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