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Hasil dari adalah....

Hasil dari adalah ....

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah C.

Pembahasan

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

Perhatikan bahwa

$begin mathsize 11px style table attributes columnalign right center left columnspacing 0px end attributes row cell 36 square root of cube root of 18 a to the power of 12 b to the power of 6 end root end root divided by 9 cube root of open parentheses 6 a to the power of 6 b to the power of negative 6 end exponent close parentheses to the power of 1 half end exponent end root end cell equals cell fraction numerator 36 square root of cube root of 18 a to the power of 12 b to the power of 6 end root end root over denominator 9 cube root of open parentheses 6 a to the power of 6 b to the power of negative 6 end exponent close parentheses to the power of 1 half end exponent end root end fraction end cell row blank equals cell fraction numerator 4 square root of open parentheses 18 a to the power of 12 b to the power of 6 close parentheses to the power of begin display style 1 third end style end exponent end root over denominator cube root of open parentheses 6 a to the power of 6 b to the power of negative 6 end exponent close parentheses to the power of 1 half end exponent end root end fraction end cell row blank equals cell fraction numerator 4 open parentheses open parentheses 18 a to the power of 12 b to the power of 6 close parentheses to the power of begin display style 1 third end style end exponent close parentheses to the power of begin display style 1 half end style end exponent over denominator open parentheses open parentheses 6 a to the power of 6 b to the power of negative 6 end exponent close parentheses to the power of begin display style 1 half end style end exponent close parentheses to the power of begin display style 1 third end style end exponent end fraction end cell row blank equals cell fraction numerator 4 open parentheses 18 a to the power of 12 b to the power of 6 close parentheses to the power of begin display style 1 over 6 end style end exponent over denominator open parentheses 6 a to the power of 6 b to the power of negative 6 end exponent close parentheses to the power of begin display style 1 over 6 end style end exponent end fraction end cell row blank equals cell fraction numerator 4 root index 6 of 18 a to the power of 12 b to the power of 6 end root over denominator root index 6 of 6 a to the power of 6 b to the power of negative 6 end exponent end root end fraction end cell row blank equals cell 4 root index 6 of fraction numerator 18 a to the power of 12 b to the power of 6 over denominator 6 a to the power of 6 b to the power of negative 6 end exponent end fraction end root end cell row blank equals cell 4 root index 6 of 3 a to the power of 12 minus 6 end exponent b to the power of 6 minus left parenthesis negative 6 right parenthesis end exponent end root end cell row blank equals cell 4 root index 6 of 3 a to the power of 6 b to the power of 12 end root end cell row blank equals cell 4 a b squared space root index 6 of 3 end cell end table end style$

Jadi, hasil dari adalah .

Dengan demikian, jawaban yang tepat adalah C.