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Tentukan hasil dari .

Tentukan hasil dari begin mathsize 14px style fraction numerator 2 to the power of 4 cross times 3 to the power of 5 cross times 4 cubed over denominator 12 squared end fraction end style.

  1. begin mathsize 14px style 1.354 end style 

  2. size 14px 1 size 14px. size 14px 543 

  3. size 14px 1 size 14px. size 14px 728 

  4. size 14px 1 size 14px. size 14px 200 

  5. size 14px 1 size 14px. size 14px 000 

Jawaban:

Soal ini dapat diselesaikan dengan menggunakan sifat eksponen sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 to the power of 4 cross times 3 to the power of 5 cross times 4 cubed over denominator 12 squared end fraction end cell equals cell fraction numerator 2 to the power of 4 cross times 3 to the power of 5 cross times open parentheses 2 squared close parentheses cubed over denominator open parentheses 3 cross times 4 close parentheses squared end fraction end cell row blank equals cell fraction numerator 2 to the power of 4 cross times 3 to the power of 5 cross times 2 to the power of 6 over denominator 3 squared cross times 4 squared end fraction end cell row blank equals cell fraction numerator 2 to the power of 4 plus 6 end exponent cross times 3 to the power of 5 over denominator 3 squared cross times 2 to the power of 4 end fraction end cell row blank equals cell fraction numerator 2 to the power of 10 cross times 3 to the power of 5 over denominator 2 to the power of 4 cross times 3 squared end fraction end cell row blank equals cell 2 to the power of 10 minus 4 end exponent cross times 3 to the power of 5 minus 2 end exponent end cell row blank equals cell 2 to the power of 6 cross times 3 cubed end cell row blank equals cell 64 cross times 27 end cell row blank equals cell 1.728 end cell end table end style

Jadi, jawaban yang tepat adalah D.

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