jika 16m=9, maka 2⋅4m−2−41+m3=...

Pertanyaan

jika $16^{\mathrm m}=9$ , maka $2\cdot4^{m-2}-\frac3{4^{1+m}}=...$

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

16 to the power of straight m equals 9 left right double arrow 4 to the power of 2 straight m end exponent equals 3 squared left right double arrow 4 to the power of straight m equals 3

sehingga

$2 times 4 to the power of m minus space 2 space end exponent minus 3 over 4 to the power of 1 plus m end exponent equals 2.1 over 16.4 to the power of m minus fraction numerator 3 over denominator 4.4 to the power of m end fraction equals 1 over 8.3 minus fraction numerator 3 over denominator 4.3 end fraction equals 3 over 8 minus 1 fourth equals fraction numerator 3 minus 2 over denominator 8 end fraction equals 1 over 8$