Pertanyaan

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Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

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 blank blank 100 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell square root of cube root of 15 a to the power of 8 b squared end root end root end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank divided by end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 20 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell cube root of open parentheses 3 a squared b to the power of negative 4 end exponent close parentheses to the power of 1 half end exponent end root end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 100 square root of cube root of 15 a to the power of 8 b squared end root end root over denominator 20 cube root of open parentheses 3 a squared b to the power of negative 4 end exponent close parentheses to the power of 1 half end exponent end root end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 square root of open parentheses 15 a to the power of 8 b squared close parentheses to the power of 1 third end exponent end root over denominator cube root of open parentheses 3 a squared b to the power of negative 4 end exponent close parentheses to the power of 1 half end exponent end root end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 open parentheses open parentheses 15 a to the power of 8 b squared close parentheses to the power of 1 third end exponent close parentheses to the power of 1 half end exponent over denominator open parentheses open parentheses 3 a squared b to the power of negative 4 end exponent close parentheses to the power of 1 half end exponent close parentheses to the power of 1 third end exponent end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 open parentheses 15 a to the power of 8 b squared close parentheses to the power of 1 over 6 end exponent over denominator open parentheses 3 a squared b to the power of negative 4 end exponent close parentheses to the power of 1 over 6 end exponent end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 5 root index 6 of 15 a to the power of 8 b squared end root over denominator root index 6 of 3 a squared b to the power of negative 4 end exponent end root end fraction end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell root index 6 of fraction numerator 15 a to the power of 8 b squared over denominator 3 a squared b to the power of negative 4 end exponent end fraction end root end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell root index 6 of 5 a to the power of 8 minus 2 end exponent b to the power of 2 minus left parenthesis negative 4 right parenthesis end exponent end root end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell root index 6 of 5 a to the power of 6 b to the power of 6 end root end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 5 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank a end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank b end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell root index 6 of 5 end cell end table end style$

Jadi, hasil dari adalah .

Dengan demikian, jawaban yang tepat adalah C.