Pertanyaan

2 7 3 2 6 4 3 1 − 6 4 2 1 = ....

$\frac{6 4 ^{\frac{1}{3}} - 6 4 ^{\frac{1}{2}}}{2 7 ^{\frac{2}{3}}}$ = ....

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalahD.

jawaban yang tepat adalah D.

Pembahasan

Perhatikan bahwa Jadi, jawaban yang tepat adalahD.

Perhatikan bahwa

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 64 to the power of 1 third end exponent minus 64 to the power of 1 half end exponent over denominator 27 to the power of 2 over 3 end exponent end fraction end cell equals cell fraction numerator left parenthesis 2 to the power of 6 right parenthesis to the power of 1 third end exponent minus left parenthesis 2 to the power of 6 right parenthesis to the power of 1 half end exponent over denominator blank end fraction end cell row cell space space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator 2 to the power of 6 cross times 1 third end exponent minus 2 to the power of 6 cross times 1 half end exponent over denominator 3 to the power of 3 cross times 2 over 3 end exponent end fraction end cell row cell space space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator 2 squared minus 2 cubed over denominator 3 squared end fraction end cell row cell space space space space space space space space space space space space space space space space space space space end cell equals cell fraction numerator 4 minus 8 over denominator 9 end fraction end cell row blank equals cell fraction numerator negative 4 over denominator 9 end fraction end cell row cell space space space space space space space space space space space space space space space space space space space end cell equals cell box enclose negative 4 over 9 end enclose end cell end table end style$

Jadi, jawaban yang tepat adalah D.