Bentuk sederhana dari 12648×235+24×223​ adalah ....

Pertanyaan

Bentuk sederhana dari fraction numerator 48 cross times 2 to the power of 35 plus 24 cross times 2 to the power of 23 over denominator 12 to the power of 6 end fraction adalah ....

  1. 2 to the power of 14 3 cubed

  2. 2 to the power of 14 3 to the power of negative 3 end exponent

  3. 2 to the power of 13 3 to the power of negative 4 end exponent

  4. 2 to the power of 13 3 to the power of 4

N. Sari

Master Teacher

Mahasiswa/Alumni Universitas Nasional

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Ingat sifat bilangan berpangkat

a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent a to the power of m divided by a to the power of n equals a to the power of m minus n end exponent a to the power of negative m end exponent equals 1 over a to the power of m open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent

Ubah bilangan bulat menjadi bilangan berpangkat, lalu gunakan sifat diatas. Sehingga, 

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 48 cross times 2 to the power of 25 plus 24 cross times 2 to the power of 23 over denominator 12 to the power of 6 end fraction end cell equals cell fraction numerator 3 cross times 16 cross times 2 to the power of 25 plus 3 cross times 8 cross times 2 to the power of 23 over denominator open parentheses 3 cross times 4 close parentheses to the power of 6 end fraction end cell row blank equals cell fraction numerator 3 cross times 2 to the power of 4 cross times 2 to the power of 25 plus 3 cross times 2 cubed cross times 2 to the power of 23 over denominator open parentheses 3 cross times 2 squared close parentheses to the power of 6 end fraction end cell row blank equals cell fraction numerator 3 cross times 2 to the power of 4 plus 25 end exponent plus 3 cross times 2 to the power of 3 plus 23 end exponent over denominator 3 to the power of 6 cross times 2 to the power of 2 cross times 6 end exponent end fraction end cell row blank equals cell fraction numerator 3 open parentheses 2 to the power of 29 plus 2 to the power of 26 close parentheses over denominator 3 to the power of 6 cross times 2 to the power of 12 end fraction end cell row blank equals cell 3 to the power of 1 minus 6 end exponent cross times 2 to the power of 26 left parenthesis 2 cubed plus 1 right parenthesis cross times 2 to the power of negative 12 end exponent end cell row blank equals cell 3 to the power of negative 5 end exponent cross times 2 to the power of 26 cross times 9 cross times 2 to the power of negative 12 end exponent end cell row blank equals cell 3 to the power of negative 5 end exponent cross times 2 to the power of 26 cross times 3 squared cross times 2 to the power of negative 12 end exponent end cell row blank equals cell 3 to the power of negative 5 plus 2 end exponent cross times 2 to the power of 26 minus 12 end exponent end cell row blank equals cell 3 to the power of negative 3 end exponent cross times 2 to the power of 14 end cell end table

Dengan demikian, Bentuk sederhana dari fraction numerator 48 cross times 2 to the power of 35 plus 24 cross times 2 to the power of 23 over denominator 12 to the power of 6 end fraction adalah 2 to the power of 14 3 to the power of negative 3 end exponent.

Oleh karena itu, jawaban yang benar adalah B.

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