Pertanyaan

Bentuk sederhana dari ( 3 b 2 a 6 9 a − 3 b − 5 ) 2 adalah ....

Bentuk sederhana dari $(\frac{9 a ^{- 3} b ^{- 5}}{3 b ^{2} a ^{6}})^{2}$ adalah .... $\;$

$fraction numerator 9 over denominator a to the power of 12 b to the power of 14 end fraction$
$fraction numerator 9 over denominator a to the power of 14 b to the power of 8 end fraction$
$fraction numerator 9 over denominator a to the power of 10 b to the power of 22 end fraction$
$fraction numerator 9 over denominator a to the power of 12 b to the power of 16 end fraction$
$fraction numerator 9 over denominator a to the power of 18 b to the power of 14 end fraction$

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah E.

jawaban yang tepat adalah E. space

Pembahasan

Akan dicari bentuk sederhana dari sebagai berikut Jadi, jawaban yang tepat adalah E.

Akan dicari bentuk sederhana dari $open parentheses fraction numerator 9 a to the power of negative 3 end exponent b to the power of negative 5 end exponent over denominator 3 b squared a to the power of 6 end fraction close parentheses squared$ sebagai berikut

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 9 a to the power of negative 3 end exponent b to the power of negative 5 end exponent over denominator 3 b squared a to the power of 6 end fraction close parentheses squared end cell equals cell open parentheses 3 a to the power of negative 3 minus 6 end exponent b to the power of negative 5 minus 2 end exponent close parentheses squared end cell row blank equals cell open parentheses 3 a to the power of negative 9 end exponent b to the power of negative 7 end exponent close parentheses squared end cell row blank equals cell 3 to the power of 1 cross times 2 end exponent a to the power of negative 9 cross times 2 end exponent b to the power of negative 7 cross times 2 end exponent end cell row blank equals cell 3 squared a to the power of negative 18 end exponent b to the power of negative 14 end exponent end cell row blank equals cell fraction numerator 9 over denominator a to the power of 18 b to the power of 14 end fraction end cell end table$

Jadi, jawaban yang tepat adalah E. space