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Pertanyaan

Jika X > 0 dan x not equal to1 pada x to the power of p equals fraction numerator square root of x square root of x square root of x end root end root over denominator x end fraction, maka nilai p adalah ...

  1. 7 over 8

  2. negative 5 over 8

  3. 3 over 8

  4. negative 1 over 8

N. Sopiah

Master Teacher

Mahasiswa/Alumni Universitas Pendidikan Indonesia

Jawaban terverifikasi

Pembahasan

x to the power of p equals fraction numerator square root of x square root of x square root of x end root end root over denominator x end fraction  square root of x square root of x square root of x end root end root equals square root of x square root of x to the power of 3 over 2 end exponent end root end root equals square root of x to the power of 7 over 4 end exponent end root equals x to the power of 7 over 8 end exponent

sehingga persamaan menjadi:

x to the power of begin display style 7 over 8 end style end exponent over x equals x to the power of p  x to the power of negative 1 over 8 end exponent equals x to the power of p  p equals negative 1 over 8

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