Pertanyaan

Diketahui p  ≡ 0 dan q  ≡ 0. Bentuk sederhana dari ⎣ ⎡ 2 1 p q 4 3 2 − 1 p − 3 q − 4 ⎦ ⎤ − 1 adalah ....

Diketahui $p \neq \equiv 0$ dan $q \neq \equiv 0.$ Bentuk sederhana dari $⎣ ⎡ \frac{3 2 ^{- 1} p ^{- 3} q ^{- 4}}{\frac{1}{2} p q ^{4}} ⎦ ⎤^{- 1}$ adalah $....$

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Jawaban terverifikasi

Jawaban

jawaban yang benar adalah A.

Pembahasan

Diketahui dengan dan maka berdasarkan sifat eksponen sehingga Oleh karena itu, jawaban yang benar adalah A.

Diketahui $open square brackets fraction numerator 32 to the power of negative 1 end exponent p to the power of negative 3 end exponent q to the power of negative 4 end exponent over denominator begin display style 1 half end style p q to the power of 4 end fraction close square brackets to the power of negative 1 end exponent space$ dengan p not identical to 0 space dan q not identical to 0 comma maka berdasarkan sifat eksponen

open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent

a to the power of m cross times a to the power of n equals a to the power of m plus n end exponent

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sehingga

$table attributes columnalign right center left columnspacing 0px end attributes row cell open square brackets fraction numerator 32 to the power of negative 1 end exponent p to the power of negative 3 end exponent q to the power of negative 4 end exponent over denominator begin display style 1 half end style p q to the power of 4 end fraction close square brackets to the power of negative 1 end exponent end cell equals cell open square brackets fraction numerator left parenthesis 2 to the power of 5 right parenthesis to the power of negative 1 end exponent p to the power of negative 3 minus 1 end exponent q to the power of negative 4 minus 4 end exponent over denominator 2 to the power of negative 1 end exponent end fraction close square brackets to the power of negative 1 end exponent end cell row blank equals cell open square brackets fraction numerator 2 to the power of negative 5 end exponent p to the power of negative 4 end exponent q to the power of negative 8 end exponent over denominator 2 to the power of negative 1 end exponent end fraction close square brackets to the power of negative 1 end exponent end cell row blank equals cell open square brackets 2 to the power of negative 5 plus 1 end exponent p to the power of negative 4 end exponent q to the power of negative 8 end exponent close square brackets to the power of negative 1 end exponent end cell row blank equals cell open square brackets 2 to the power of negative 4 end exponent p to the power of negative 4 end exponent q to the power of negative 8 end exponent close square brackets to the power of negative 1 end exponent end cell row blank equals cell 2 to the power of 4 p to the power of 4 q to the power of 8 end cell end table$

Oleh karena itu, jawaban yang benar adalah A.