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Pertanyaan

Hasil dari 3 6 ​ 3 4.374 ​ ​ × 1.024 ​ ​ 3 8 ​ ​ ​ adalah ....

Hasil dari  adalah ....

  1. begin mathsize 14px style negative 36 end style 

  2.  

  3. begin mathsize 14px style 9 over 4 end style 

  4. begin mathsize 14px style 9 over 2 end style 

  5. size 14px 36 

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N. Syafriah

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

jawaban yang tepat adalah C.

Pembahasan

Perhatikan perhitungan berikut! Dengan demikian,hasil dari adalah . Jadi, jawaban yang tepat adalah C.

Perhatikan perhitungan berikut!

 begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator cube root of 4.374 end root over denominator cube root of 6 end fraction cross times fraction numerator square root of cube root of 8 end root over denominator square root of square root of 1.024 end root end root end fraction end cell equals cell cube root of fraction numerator 4.374 over denominator 6 end fraction end root cross times fraction numerator square root of cube root of 2 cubed end root end root over denominator square root of square root of 2 to the power of 10 end root end root end fraction end cell row blank equals cell cube root of 729 cross times fraction numerator square root of 2 to the power of 3 cross times 1 third end exponent end root over denominator square root of 2 to the power of 10 cross times 1 half end exponent end root end fraction end cell row blank equals cell cube root of 729 cross times fraction numerator square root of 2 over denominator square root of 2 to the power of 5 end root end fraction end cell row blank equals cell cube root of 3 to the power of 6 end root cross times square root of 2 over 2 to the power of 5 end root end cell row blank equals cell 3 to the power of 6 cross times 1 third end exponent cross times square root of 2 to the power of negative 4 end exponent end root end cell row blank equals cell 3 squared cross times 2 to the power of open parentheses negative 4 close parentheses cross times 1 half end exponent end cell row blank equals cell 9 cross times 2 to the power of negative 2 end exponent end cell row blank equals cell 9 cross times 1 over 2 squared end cell row blank equals cell 9 cross times 1 fourth end cell row blank equals cell 9 over 4 end cell end table end style

Dengan demikian, hasil dari begin mathsize 14px style fraction numerator cube root of 4.374 end root over denominator cube root of 6 end fraction cross times fraction numerator square root of cube root of 8 end root over denominator square root of square root of 1.024 end root end root end fraction end style adalah begin mathsize 14px style 9 over 4 end style.

Jadi, jawaban yang tepat adalah C.

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