Pertanyaan

8 4 5 2 4 3 × 4 3 2 = ...

$\frac{2 ^{\frac{3}{4}} \times 4 ^{\frac{2}{3}}}{8 ^{\frac{5}{4}}} = ...$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah D.

Pembahasan

Konsep yang digunakan: Jadi, jawaban yang tepat adalah D.

Konsep yang digunakan:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 2px end attributes row cell fraction numerator 2 to the power of begin display style 3 over 4 end style end exponent cross times 4 to the power of begin display style 2 over 3 end style end exponent over denominator 8 to the power of begin display style 5 over 4 end style end exponent end fraction end cell equals cell fraction numerator 2 to the power of begin display style 3 over 4 end style end exponent cross times open parentheses 2 squared close parentheses to the power of begin display style 2 over 3 end style end exponent over denominator open parentheses 2 cubed close parentheses to the power of begin display style 5 over 4 end style end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of begin display style 3 over 4 end style end exponent cross times left parenthesis 2 right parenthesis to the power of begin display style 2 cross times 2 over 3 end style end exponent over denominator left parenthesis 2 right parenthesis to the power of begin display style 3 cross times 5 over 4 end style end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of begin display style 3 over 4 end style end exponent cross times 2 to the power of begin display style 4 over 3 end style end exponent over denominator 2 to the power of begin display style 15 over 4 end style end exponent end fraction end cell row blank equals cell 2 to the power of begin display style 3 over 4 plus 4 over 3 end style end exponent over 2 to the power of begin display style 15 over 4 end style end exponent end cell row blank equals cell 2 to the power of begin display style 25 over 12 end style end exponent over 2 to the power of 15 over 4 end exponent end cell row blank equals cell 2 to the power of 25 over 12 minus 15 over 4 end exponent end cell row blank equals cell 2 to the power of negative 5 over 3 end exponent end cell end table end style$

Jadi, jawaban yang tepat adalah D.