Pertanyaan

1 + a p − q 1 + 1 + a q − p 1 = ...

$\frac{1}{1 + a ^{p - q}} + \frac{1}{1 + a ^{q - p}} = ...$

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N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

$fraction numerator 1 over denominator 1 plus straight a to the power of straight p minus straight q end exponent end fraction plus space fraction numerator begin display style 1 end style over denominator begin display style 1 plus straight a to the power of straight q minus straight p end exponent end style end fraction equals fraction numerator begin display style 1 end style over denominator begin display style 1 plus fraction numerator begin display style straight a to the power of straight p end style over denominator straight a to the power of straight q end fraction end style end fraction plus space fraction numerator begin display style 1 end style over denominator begin display style 1 plus fraction numerator begin display style straight a to the power of straight q end style over denominator straight a to the power of straight p end fraction end style end fraction equals fraction numerator begin display style 1 end style over denominator begin display style fraction numerator begin display style straight a to the power of straight q plus straight a to the power of straight p end style over denominator straight a to the power of straight q end fraction end style end fraction plus space fraction numerator begin display style 1 end style over denominator begin display style fraction numerator begin display style straight a to the power of straight p plus straight a to the power of straight q end style over denominator straight a to the power of straight p end fraction end style end fraction equals fraction numerator begin display style straight a to the power of straight q end style over denominator straight a to the power of straight q plus straight a to the power of straight p end fraction plus space fraction numerator begin display style straight a to the power of straight p end style over denominator straight a to the power of straight p plus straight a to the power of straight q end fraction equals fraction numerator begin display style straight a to the power of straight p plus straight a to the power of straight q end style over denominator straight a to the power of straight p plus straight a to the power of straight q end fraction equals space 1$