Pertanyaan

( 2 1 ) 4 a 4 b − 5 2 − 3 a 3 b − 4 = ...

$\frac{2 ^{- 3} a ^{3} b ^{- 4}}{( \frac{1}{2} ) ^{4} a ^{4} b ^{- 5}} = ...$

$fraction numerator 2 a over denominator b end fraction$
$fraction numerator a b over denominator 2 end fraction$
$fraction numerator b over denominator 2 a end fraction$
$fraction numerator 2 b over denominator a end fraction$

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Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

Pembahasan

Ingat kembali: sehingga diperoleh perhitungan: Dengan demikian, nilai dari adalah . Jadi, jawaban yang tepat adalah E.

Ingat kembali:

a to the power of m over a to the power of n equals a to the power of m minus n end exponent comma space a not equal to 0

1 over a to the power of n equals a to the power of negative n end exponent comma space a not equal to 0

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

sehingga diperoleh perhitungan:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 to the power of negative 3 end exponent a cubed b to the power of negative 4 end exponent over denominator open parentheses begin display style 1 half end style close parentheses to the power of 4 a to the power of 4 b to the power of negative 5 end exponent end fraction end cell equals cell fraction numerator 2 to the power of negative 3 end exponent a cubed b to the power of negative 4 end exponent over denominator open parentheses begin display style 2 to the power of negative 1 end exponent end style close parentheses to the power of 4 a to the power of 4 b to the power of negative 5 end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of negative 3 end exponent a cubed b to the power of negative 4 end exponent over denominator begin display style 2 to the power of negative 4 end exponent end style a to the power of 4 b to the power of negative 5 end exponent end fraction end cell row blank equals cell 2 to the power of negative 3 minus open parentheses negative 4 close parentheses end exponent a to the power of 3 minus 4 end exponent b to the power of negative 4 minus open parentheses negative 5 close parentheses end exponent end cell row blank equals cell 2 to the power of negative 3 plus 4 end exponent a to the power of negative 1 end exponent b to the power of negative 4 plus 5 end exponent end cell row blank equals cell fraction numerator 2 b over denominator a end fraction end cell end table$

Dengan demikian, nilai dari $fraction numerator 2 to the power of negative 3 end exponent a cubed b to the power of negative 4 end exponent over denominator open parentheses begin display style 1 half end style close parentheses to the power of 4 a to the power of 4 b to the power of negative 5 end exponent end fraction$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 2 b over denominator a end fraction end cell end table$ .

Jadi, jawaban yang tepat adalah E.