Pertanyaan

Bentuk sederhana dari ⎝ ⎛ 4 P − 3 2 Q 4 1 R 2 5 3 P 3 1 Q 4 3 R 2 3 ⎠ ⎞ 2 adalah ....

Bentuk sederhana dari $⎝ ⎛ \frac{3 P ^{\frac{1}{3}} Q ^{\frac{3}{4}} R ^{\frac{3}{2}}}{4 P ^{- \frac{2}{3}} Q ^{\frac{1}{4}} R ^{\frac{5}{2}}} ⎠ ⎞^{2}$ adalah ....

$fraction numerator 3 P Q squared over denominator 4 R squared end fraction$
$fraction numerator 3 P squared Q over denominator 4 R squared end fraction$
$fraction numerator 9 P Q squared over denominator 16 R end fraction$
$fraction numerator 9 P Q squared over denominator 16 R squared end fraction$
$fraction numerator 9 P squared Q over denominator 16 R squared end fraction$

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

Perhatikan perhitungan berikut! Jadi, bentuk sederhana dari adalah . Oleh karena itu, jawaban yang benar adalah E.

Perhatikan perhitungan berikut!

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 3 P to the power of begin display style 1 third end style end exponent Q to the power of begin display style 3 over 4 end style end exponent R to the power of begin display style 3 over 2 end style end exponent over denominator 4 P to the power of negative 2 over 3 end exponent Q to the power of 1 fourth end exponent R to the power of 5 over 2 end exponent end fraction close parentheses squared end cell equals cell open parentheses fraction numerator 3 P to the power of begin display style 1 third plus 2 over 3 end style end exponent Q to the power of begin display style 3 over 4 minus 1 fourth end style end exponent over denominator 4 R to the power of 5 over 2 minus end exponent to the power of 3 over 2 end exponent end fraction close parentheses squared end cell row blank equals cell open parentheses fraction numerator 3 P Q to the power of begin display style 2 over 4 end style end exponent over denominator 4 R end fraction close parentheses squared end cell row blank equals cell fraction numerator 9 P squared Q over denominator 16 R squared end fraction end cell end table$

Jadi, bentuk sederhana dari $open parentheses fraction numerator 3 P to the power of begin display style 1 third end style end exponent Q to the power of begin display style 3 over 4 end style end exponent R to the power of begin display style 3 over 2 end style end exponent over denominator 4 P to the power of negative 2 over 3 end exponent Q to the power of 1 fourth end exponent R to the power of 5 over 2 end exponent end fraction close parentheses squared$ adalah $fraction numerator 9 P squared Q over denominator 16 R squared end fraction$ .

Oleh karena itu, jawaban yang benar adalah E.