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Pertanyaan

( 2 a 3 b − 4 ) 2 = ...

  1. 2 a to the power of 6 b to the power of negative 2 end exponent

  2. fraction numerator 4 a to the power of 8 over denominator b to the power of 6 end fraction

  3. 4 a to the power of 6 b to the power of 8

  4. fraction numerator 4 a to the power of 6 over denominator b to the power of 8 end fraction

  5. 2 a to the power of 6 b

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R. Hajrianti

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

jawaban yang tepat adalah D.

Pembahasan

Ingat kembali sifat bilangan berpangkat berikut: sehingga diperoleh perhitungan: Dengan demikian, nilai dari adalah . Jadi, jawaban yang tepat adalah D.

Ingat kembali sifat bilangan berpangkat berikut:

  1. open parentheses a to the power of m close parentheses to the power of n equals a to the power of m times n end exponent
  2. 1 over a to the power of n equals a to the power of negative n end exponent. space a not equal to 0 
  3. a to the power of n equals stack stack a cross times a cross times a cross times... cross times a with underbrace below with a space s e b a n y a k space n below
  4. open parentheses a times b close parentheses to the power of n equals a to the power of n times b to the power of n 

sehingga diperoleh perhitungan:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 2 a cubed b to the power of negative 4 end exponent close parentheses squared end cell equals cell 2 squared open parentheses a cubed close parentheses squared open parentheses b to the power of negative 4 end exponent close parentheses squared space space space space space space space space Sifat space 4 end cell row blank equals cell open parentheses 2 times 2 close parentheses a to the power of 3 times 2 end exponent b to the power of open parentheses negative 4 close parentheses times 2 end exponent space space space Sifat space 1 space dan space 3 end cell row blank equals cell 4 a to the power of 6 b to the power of negative 8 end exponent end cell row blank equals cell fraction numerator 4 a to the power of 6 over denominator b to the power of 8 end fraction space space space space space space space space space space space space space space space space space space space space space space Sifat space 2 end cell end table 


Dengan demikian, nilai dari open parentheses 2 a cubed b to the power of negative 4 end exponent close parentheses squared adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 4 a to the power of 6 over denominator b to the power of 8 end fraction end cell end table.

Jadi, jawaban yang tepat adalah D.

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