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Nilai p - q + r yang memenuhi persamaan 3 2 256 ​ ​ × 5 2 729 3 x 6 ​ ​ ​ = 2 p 3 q x r adalah ….

Nilai p-q+r  yang memenuhi persamaan   adalah ….

  1. 14 over 15 space 

  2. 14 over 5 

  3. 5 over 14 

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N. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Padang

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Pembahasan

Gunakan sifat akar : Maka : Maka dan Nilai

Gunakan sifat akar :

n-th root of x to the power of m end root equals x to the power of m over n end exponent

Maka :

cube root of square root of 256 end root cross times fifth root of square root of 729 cube root of x to the power of 6 end root end root end root equals 2 to the power of p 3 to the power of q x to the power of r cube root of square root of 16 squared end root end root cross times fifth root of square root of 3 to the power of 6 x squared end root space end root equals 2 to the power of p 3 to the power of q x to the power of r cube root of 16 cross times fifth root of square root of open parentheses 3 cubed x close parentheses squared end root space end root equals 2 to the power of p 3 to the power of q x to the power of r cube root of 2 to the power of 4 end root cross times fifth root of 3 cubed x end root equals 2 to the power of p 3 to the power of q x to the power of r 2 to the power of 4 over 3 end exponent space 3 to the power of 3 over 5 end exponent space x to the power of 1 fifth end exponent equals 2 to the power of p 3 to the power of q x to the power of r

Maka space p equals 4 over 3 comma q equals 3 over 5 dan r equals 1 fifth

Nilai  negative q plus r equals 4 over 3 minus 3 over 5 plus 1 fifth equals fraction numerator 20 minus 9 plus 3 over denominator 5 end fraction equals 14 over 5 

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