Pertanyaan

3. Hasil 1 2 n − 1 2 n + 2 6 n − 4 adalah ....

3. Hasil $\frac{2 ^{n + 2} 6 ^{n - 4}}{1 2 ^{n - 1}}$ adalah ....

S. Nur

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Untuk soal persamaan eksponen tersebut berlaku sifat-sifat berikut: Dengan demikian, hasil dari . Oleh karena itu, jawaban yang benar adalah B.

Untuk soal persamaan eksponen tersebut berlaku sifat-sifat berikut:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 to the power of n plus 2 end exponent space 6 to the power of n minus 4 end exponent over denominator 12 to the power of n minus 1 end exponent end fraction end cell equals cell fraction numerator open parentheses 2 to the power of n times 2 squared close parentheses open parentheses begin display style 6 to the power of n over 6 to the power of 4 end style close parentheses over denominator begin display style 12 to the power of n over 12 end style end fraction end cell row blank equals cell open parentheses 2 to the power of n times 4 close parentheses cross times open parentheses 6 to the power of n over 6 to the power of 4 close parentheses cross times open parentheses 12 over 12 to the power of n close parentheses end cell row blank equals cell open parentheses 2 to the power of n times 4 close parentheses cross times open parentheses fraction numerator 6 to the power of n over denominator 1.296 end fraction close parentheses cross times open parentheses 12 over open parentheses 2 cross times 6 close parentheses to the power of n close parentheses end cell row blank equals cell open parentheses up diagonal strike 2 to the power of n end strike times 4 close parentheses cross times open parentheses fraction numerator up diagonal strike 6 to the power of n end strike over denominator 108 end fraction close parentheses cross times open parentheses fraction numerator 1 over denominator up diagonal strike 2 to the power of n end strike times up diagonal strike 6 to the power of n end strike end fraction close parentheses end cell row blank equals cell 4 over 108 end cell row blank equals cell 1 over 27 end cell end table$

Dengan demikian, hasil dari $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 to the power of n plus 2 end exponent space 6 to the power of n minus 4 end exponent over denominator 12 to the power of n minus 1 end exponent end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1 over 27 end cell end table$ .

Oleh karena itu, jawaban yang benar adalah B.