Pertanyaan

Jika f ( n ) = 2 2 n + 2 . 6 n − 4 dan g ( n ) = 1 2 n − 1 , n bilangan asli, maka g ( n ) f ( n ) = ...

Jika $f (n) = 2^{2 n + 2} . 6^{n - 4}$ dan $g (n) = 1 2^{n - 1}$ , n bilangan asli, maka $\frac{f ( n )}{g ( n )} = ...$

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$fraction numerator f left parenthesis n right parenthesis over denominator g left parenthesis n right parenthesis end fraction equals fraction numerator 2 to the power of 2 n plus 2 end exponent.6 to the power of n minus 4 end exponent over denominator 12 to the power of n minus 1 end exponent end fraction equals fraction numerator 2 to the power of 2 n plus 2 end exponent.2 to the power of n minus 4 end exponent.3 to the power of n minus 4 end exponent over denominator 2 to the power of 2 n minus 2 end exponent.3 to the power of n minus 1 end exponent end fraction equals 2 to the power of n 3 to the power of negative 3 end exponent equals 2 to the power of n over 27$