Pertanyaan

Jika n bilangan bulat, maka 1 2 n − 1 2 n + 2 . 6 n − 4 = ...

Jika n bilangan bulat, maka $\frac{2 ^{n + 2} . 6 ^{n - 4}}{1 2 ^{n - 1}} = ...$

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$fraction numerator 2 to the power of n plus 2 end exponent.6 to the power of n space minus 4 end exponent over denominator 12 to the power of n minus 1 end exponent end fraction equals fraction numerator 2 to the power of n plus 2 end exponent.6 to the power of n space minus 4 end exponent over denominator left parenthesis 2.6 right parenthesis to the power of n minus 1 end exponent end fraction equals fraction numerator 2 to the power of n plus 2 end exponent.6 to the power of n space minus 4 end exponent over denominator 2 to the power of n minus 1 end exponent.6 to the power of n minus 1 end exponent end fraction equals 2 to the power of left parenthesis n plus 1 right parenthesis minus left parenthesis n minus 1 right parenthesis end exponent.6 to the power of left parenthesis n minus 4 right parenthesis minus left parenthesis n minus 1 right parenthesis end exponent equals 2 cubed.6 to the power of negative 3 end exponent equals 2 cubed. left parenthesis 2.3 right parenthesis to the power of negative 3 end exponent equals 2 cubed.2 to the power of negative 3 end exponent.3 to the power of negative 3 end exponent equals 2 to the power of 3 minus 3 end exponent.3 to the power of negative 3 end exponent equals 2 to the power of 0.1 over 3 cubed equals 1.1 over 27 equals 1 over 27$