Pertanyaan

Hasil dari adalah ....

$begin mathsize 14px style fraction numerator 3 p squared r cubed over denominator q end fraction cube root of p end style$
$begin mathsize 14px style fraction numerator 9 p squared r cubed over denominator q end fraction cube root of p squared end root end style$

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A. Khairunisa

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Perhatikan bahwa Jadi, hasil dari adalah . Dengan demikian, jawaban yang tepat adalah B.

Perhatikan bahwa

$begin mathsize 12px style 6 root index 6 of open parentheses 108 p to the power of negative 18 end exponent q to the power of 9 r to the power of 9 close parentheses squared end root divided by 2 cube root of square root of square root of open parentheses 4 p to the power of negative 26 end exponent q to the power of 12 close parentheses to the power of 4 end root end root end root equals fraction numerator 6 root index 6 of open parentheses 108 p to the power of negative 18 end exponent q to the power of 9 r to the power of 9 close parentheses squared end root over denominator 2 cube root of square root of square root of open parentheses 4 p to the power of negative 26 end exponent q to the power of 12 close parentheses to the power of 4 end root end root end root end fraction equals fraction numerator 3 open parentheses open parentheses 108 p to the power of negative 18 end exponent q to the power of 9 r to the power of 9 close parentheses squared close parentheses to the power of 1 over 6 end exponent over denominator cube root of square root of open parentheses open parentheses 4 p to the power of negative 26 end exponent q to the power of 12 close parentheses to the power of 4 close parentheses to the power of 1 half end exponent end root end root end fraction equals fraction numerator 3 open parentheses 108 p to the power of negative 18 end exponent q to the power of 9 r to the power of 9 close parentheses to the power of 1 third end exponent over denominator cube root of square root of open parentheses 4 p to the power of negative 26 end exponent q to the power of 12 close parentheses squared end root end root end fraction equals fraction numerator 3 open parentheses 108 p to the power of negative 18 end exponent q to the power of 9 r to the power of 9 close parentheses to the power of 1 third end exponent over denominator cube root of 4 p to the power of negative 26 end exponent q to the power of 12 end root end fraction equals fraction numerator 3 open parentheses 108 p to the power of negative 18 end exponent q to the power of 9 r to the power of 9 close parentheses to the power of 1 third end exponent over denominator open parentheses 4 p to the power of negative 26 end exponent q to the power of 12 close parentheses to the power of 1 third end exponent end fraction equals 3 fraction numerator cube root of 108 p to the power of negative 18 end exponent q to the power of 9 r to the power of 9 end root over denominator cube root of 4 p to the power of negative 26 end exponent q to the power of 12 end root end fraction equals 3 cube root of fraction numerator 108 p to the power of negative 18 end exponent q to the power of 9 r to the power of 9 over denominator 4 p to the power of negative 26 end exponent q to the power of 12 end fraction end root equals 3 cube root of 27 p to the power of negative 18 minus open parentheses negative 26 close parentheses end exponent q to the power of 9 minus 12 end exponent r to the power of 9 end root equals 3 cube root of 3 cubed p to the power of 8 q to the power of negative 3 end exponent r to the power of 9 end root equals 3 open parentheses 3 cubed p to the power of 8 q to the power of negative 3 end exponent r to the power of 9 close parentheses to the power of 1 third end exponent equals 3 open parentheses 3 p to the power of 8 over 3 end exponent q to the power of negative 1 end exponent r cubed close parentheses equals 9 p to the power of 2 2 over 3 end exponent q to the power of negative 1 end exponent r cubed equals fraction numerator 9 p squared r cubed over denominator q end fraction cube root of p squared end root end style$

Jadi, hasil dari adalah .

Dengan demikian, jawaban yang tepat adalah B.