Pertanyaan

Bentuk sederhana dari ( a − 2 b 4 c 2 ) − 2 ( 2 a − 1 b − 3 c − 2 ) − 3 adalah ....

Bentuk sederhana dari $\frac{( 2 a ^{- 1} b ^{- 3} c ^{- 2} ) ^{- 3}}{( a ^{- 2} b ^{4} c ^{2} ) ^{- 2}}$ adalah ....

$begin mathsize 14px style fraction numerator a b to the power of 17 over denominator 8 c to the power of 10 end fraction end style$
$begin mathsize 14px style fraction numerator a b to the power of 17 over denominator 8 c to the power of 10 end fraction end style$
$begin mathsize 14px style fraction numerator 6 a c to the power of 10 over denominator b to the power of 17 end fraction end style$
$begin mathsize 14px style fraction numerator 8 a to the power of 10 over denominator b to the power of 12 c squared end fraction end style$
$begin mathsize 14px style fraction numerator b to the power of 17 c to the power of 10 over denominator 8 a end fraction end style$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Ingat! a m × a n ( a m ) n a − n = = = a m + n a m × n a n 1 Sehingga, Oleh karena itu, jawaban yang tepat adalah E.

Ingat!

$a^{m} \times a^{n} (a^{m})^{n} a^{- n} = = = a^{m + n} a^{m \times n} \frac{1}{a ^{n}}$

Sehingga,

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 2 a to the power of negative 1 end exponent b to the power of negative 3 end exponent c to the power of negative 2 end exponent close parentheses to the power of negative 3 end exponent over open parentheses a to the power of negative 2 end exponent b to the power of 4 c squared close parentheses to the power of negative 2 end exponent end cell equals cell fraction numerator 2 to the power of negative 3 end exponent a cubed b to the power of 9 c to the power of 6 over denominator a to the power of 4 b to the power of negative 8 end exponent c to the power of negative 4 end exponent end fraction end cell row blank equals cell 2 to the power of negative 3 end exponent a to the power of 3 minus 4 end exponent b to the power of 9 minus left parenthesis negative 8 right parenthesis end exponent c to the power of 6 minus left parenthesis negative 4 right parenthesis end exponent end cell row blank equals cell 2 to the power of negative 3 end exponent a to the power of negative 1 end exponent b to the power of 17 c to the power of 10 end cell row blank equals cell fraction numerator b to the power of 17 c to the power of 10 over denominator 2 cubed a to the power of 1 end fraction end cell row blank equals cell fraction numerator b to the power of 17 c to the power of 10 over denominator 8 a end fraction end cell end table end style$

Oleh karena itu, jawaban yang tepat adalah E.