Pertanyaan

6 a 2 b 4 c 3 a 3 bc = ...

$\frac{a 3 bc}{6 a ^{2} b ^{4} c ^{3}} = ...$

$root index 6 of fraction numerator a c cubed over denominator b cubed end fraction end root$
$root index 6 of fraction numerator a over denominator b squared c end fraction end root$

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Klaim

H. Nufus

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

$fraction numerator square root of a cube root of b c end root over denominator root index 6 of a squared b to the power of 4 c cubed end root end fraction equals fraction numerator a to the power of begin display style 1 half end style end exponent b to the power of begin display style 1 third end style end exponent c to the power of begin display style 1 third end style end exponent over denominator a to the power of begin display style 2 over 6 end style end exponent b to the power of begin display style 4 over 6 end style end exponent c to the power of begin display style 3 over 6 end style end exponent end fraction equals a to the power of open parentheses 3 over 6 minus 2 over 6 close parentheses end exponent b to the power of open parentheses fraction numerator begin display style 2 end style over denominator begin display style 6 end style end fraction minus fraction numerator begin display style 4 end style over denominator begin display style 6 end style end fraction close parentheses end exponent c to the power of open parentheses fraction numerator begin display style 2 end style over denominator begin display style 6 end style end fraction minus fraction numerator begin display style 3 end style over denominator begin display style 6 end style end fraction close parentheses end exponent equals a to the power of 1 over 6 end exponent b to the power of negative 2 over 6 end exponent c to the power of negative 1 over 6 end exponent equals root index 6 of fraction numerator a over denominator b squared c end fraction end root$