Pertanyaan

⎝ ⎛ 8 p − 3 2 q − 1 4 1 27 p 2 3 1 q 1 4 3 ⎠ ⎞ 3 1 = ....

$⎝ ⎛ \frac{27 p ^{2 \frac{1}{3}} q ^{1 \frac{3}{4}}}{8 p ^{- \frac{2}{3}} q ^{- 1 \frac{1}{4}}} ⎠ ⎞^{\frac{1}{3}} = ....$

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah B.

Pembahasan

Jika diberikanbilangan riil , danbilangan rasional maka berlaku sifatberikut. Sehingga dapat ditentukan hasil dari bentuk berikut. Sehingga diperoleh . Jadi, jawaban yang benar adalah B.

Jika diberikan bilangan riil a space dan space b , b not equal to 0 dan bilangan rasional p comma space q comma space r maka berlaku sifat berikut.

Sehingga dapat ditentukan hasil dari bentuk berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 27 p to the power of 2 begin display style 1 third end style end exponent q to the power of 1 begin display style 3 over 4 end style end exponent over denominator 8 p to the power of negative begin display style 2 over 3 end style end exponent q to the power of negative 1 begin display style 1 fourth end style end exponent end fraction close parentheses to the power of 1 third end exponent end cell equals cell open parentheses fraction numerator 3 cubed p to the power of begin display style 7 over 3 end style end exponent q to the power of begin display style 7 over 4 end style end exponent over denominator 2 cubed p to the power of negative begin display style 2 over 3 end style end exponent q to the power of negative 1 begin display style 1 fourth end style end exponent end fraction close parentheses to the power of 1 third end exponent end cell row blank equals cell fraction numerator 3 to the power of 3 times begin display style 1 third end style end exponent p to the power of begin display style 7 over 3 times 1 third end style end exponent q to the power of begin display style 7 over 4 times 1 third end style end exponent over denominator 2 to the power of 3 times begin display style 1 third end style end exponent p to the power of negative begin display style 2 over 3 times 1 third end style end exponent q to the power of negative begin display style 5 over 4 times 1 third end style end exponent end fraction end cell row blank equals cell fraction numerator 3 p to the power of begin display style 7 over 9 end style end exponent q to the power of begin display style 7 over 12 end style end exponent over denominator 2 p to the power of negative begin display style 2 over 9 end style end exponent q to the power of negative begin display style 5 over 12 end style end exponent end fraction end cell row blank equals cell 3 over 2 p to the power of 7 over 9 minus open parentheses negative 2 over 9 close parentheses end exponent q to the power of 7 over 12 minus open parentheses negative 5 over 12 close parentheses end exponent end cell row blank equals cell 1 comma 5 p to the power of 7 over 9 plus 2 over 9 end exponent q to the power of 7 over 12 plus 5 over 12 end exponent end cell row blank equals cell 1 comma 5 p to the power of 9 over 9 end exponent q to the power of 12 over 12 end exponent end cell row blank equals cell 1 comma 5 p q end cell end table$

Sehingga diperoleh Error converting from MathML to accessible text. .

Jadi, jawaban yang benar adalah B.