Pertanyaan

Hasil dari adalah ....

Hasil dari $begin mathsize 14px style fraction numerator 4 open parentheses cube root of 9 x squared end root close parentheses to the power of 1 half end exponent minus 15 cube root of 3 x end root minus 3 open parentheses 3 x close parentheses to the power of 1 third end exponent over denominator 10 open parentheses 5 y close parentheses to the power of 1 fourth end exponent plus 2 fourth root of 5 y end root plus 3 open parentheses fourth root of 25 y squared end root close parentheses to the power of 1 half end exponent end fraction end style$ adalah ....

$begin mathsize 14px style negative 14 over 15 cube root of fraction numerator 3 x over denominator 5 y end fraction end root end style$
$begin mathsize 14px style 14 over 15 cube root of fraction numerator 3 x over denominator 5 y end fraction end root end style$
$begin mathsize 14px style fraction numerator 14 cube root of 3 x end root over denominator 15 fourth root of 5 y end root end fraction end style$

M. Robo

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah A.

Pembahasan

Ingat bahwa : Sehingga didapat Jadi, hasil dari adalah . Dengan demikian, jawaban yang tepat adalah A.

Ingat bahwa :

Sehingga didapat

$begin mathsize 14px style fraction numerator 4 open parentheses cube root of 9 x squared end root close parentheses to the power of 1 half end exponent minus 15 cube root of 3 x end root minus 3 open parentheses 3 x close parentheses to the power of 1 third end exponent over denominator 10 open parentheses 5 y close parentheses to the power of 1 fourth end exponent plus 2 fourth root of 5 y end root plus 3 open parentheses fourth root of 25 y squared end root close parentheses to the power of 1 half end exponent end fraction equals fraction numerator 4 open parentheses open parentheses 9 x squared close parentheses to the power of 1 third end exponent close parentheses to the power of 1 half end exponent minus 15 cube root of 3 x end root minus 3 cube root of 3 x end root over denominator 10 fourth root of 5 y end root plus 2 fourth root of 5 y end root plus 3 open parentheses open parentheses 25 y squared close parentheses to the power of 1 fourth end exponent close parentheses to the power of 1 half end exponent end fraction equals fraction numerator 4 open parentheses open parentheses 3 squared x squared close parentheses to the power of 1 half end exponent close parentheses to the power of 1 third end exponent minus 15 cube root of 3 x end root minus 3 cube root of 3 x end root over denominator 10 fourth root of 5 y end root plus 2 fourth root of 5 y end root plus 3 open parentheses open parentheses 5 squared y squared close parentheses to the power of 1 half end exponent close parentheses to the power of 1 fourth end exponent end fraction equals fraction numerator 4 open parentheses 3 x close parentheses to the power of 1 third end exponent minus 15 cube root of 3 x end root minus 3 cube root of 3 x end root over denominator 10 fourth root of 5 y end root plus 2 fourth root of 5 y end root plus 3 open parentheses 5 y close parentheses to the power of 1 fourth end exponent end fraction equals fraction numerator 4 cube root of 3 x end root minus 15 cube root of 3 x end root minus 3 cube root of 3 x end root over denominator 10 fourth root of 5 y end root plus 2 fourth root of 5 y end root plus 3 fourth root of 5 y end root end fraction equals fraction numerator open parentheses 4 minus 15 minus 3 close parentheses cube root of 3 x end root over denominator open parentheses 10 plus 2 plus 3 close parentheses fourth root of 5 y end root end fraction equals negative fraction numerator 14 cube root of 3 x end root over denominator 15 fourth root of 5 y end root end fraction end style$

Jadi, hasil dari $begin mathsize 14px style fraction numerator 4 open parentheses cube root of 9 x squared end root close parentheses to the power of 1 half end exponent minus 15 cube root of 3 x end root minus 3 open parentheses 3 x close parentheses to the power of 1 third end exponent over denominator 10 open parentheses 5 y close parentheses to the power of 1 fourth end exponent plus 2 fourth root of 5 y end root plus 3 open parentheses fourth root of 25 y squared end root close parentheses to the power of 1 half end exponent end fraction end style$ adalah $begin mathsize 14px style negative fraction numerator 14 cube root of 3 x end root over denominator 15 fourth root of 5 y end root end fraction end style$ .

Dengan demikian, jawaban yang tepat adalah A.