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Pertanyaan

2 4 2 3 ​ ⋅ 4 4 3 ​ ⋅ 2 2 1 ​ 4 2 3 ​ = ...

 

  1. 2space 

  2. 4space 

  3. 6space 

  4. 8space 

  5. 12space 

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N. Puspita

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

jawaban yang tepat adalah D.

Pembahasan

Pembahasan
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Ingat bahwa: n a ​ ⋅ n b ​ = n a ⋅ b ​ ( a m ) n = a m × n a n a m ​ = a m − n Mencari hasil dari akar tersebut: Jadi, hasil dari . Dengan demikian, jawaban yang tepat adalah D.

Ingat bahwa:

  • a to the power of m times a to the power of n equals a to the power of m plus n end exponent
  • n-th root of a to the power of m end root equals a to the power of m over n end exponent comma thin space    thin space a greater or equal than 0 
  •  

Mencari hasil dari akar tersebut:

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 fourth root of 2 cubed end root times fourth root of 4 cubed end root times 1 over 2 squared fourth root of 2 cubed end root end cell equals cell 2 times 1 over 2 squared times fourth root of 2 cubed end root fourth root of 4 cubed end root fourth root of 2 cubed end root end cell row blank equals cell 2 times 1 over 2 squared times fourth root of 2 cubed times 4 cubed times 2 cubed end root end cell row blank equals cell 2 times 1 over 2 squared times fourth root of 4 cubed times 2 to the power of 3 plus 3 end exponent end root end cell row blank equals cell 2 times 1 over 2 squared times fourth root of 4 cubed times 2 to the power of 6 end root end cell row blank equals cell 2 times 1 over 2 squared times fourth root of open parentheses 2 squared close parentheses cubed times 2 to the power of 6 end root end cell row blank equals cell 2 times 1 over 2 squared times fourth root of 2 to the power of 6 times 2 to the power of 6 end root end cell row blank equals cell 2 times 1 over 2 squared times fourth root of 2 to the power of 6 plus 6 end exponent end root end cell row blank equals cell 2 times 1 over 2 squared times fourth root of 2 to the power of 12 end root end cell row blank equals cell 2 times 1 over 2 squared times 2 to the power of 12 over 4 end exponent end cell row blank equals cell 2 times 1 over 2 squared times 2 cubed end cell row blank equals cell 2 to the power of 1 plus 3 end exponent over 2 squared end cell row blank equals cell 2 to the power of 4 over 2 squared end cell row blank equals cell 2 squared end cell row blank equals 4 end table  

Jadi, hasil dari 2 fourth root of 2 cubed end root times fourth root of 4 cubed end root times 1 over 2 squared fourth root of 2 cubed end root equals 4.

Dengan demikian, jawaban yang tepat adalah D.

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