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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 ....

  1. fraction numerator 3 P Q squared over denominator 4 R squared end fraction

  2. fraction numerator 3 P squared Q over denominator 4 R squared end fraction

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

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

  5. fraction numerator 9 P squared Q over denominator 16 R squared end fraction

D. Citra

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang benar adalah E.

Pembahasan

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.

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