Pertanyaan

Jika a  = 0 dan b  = 0 maka bentuk sederhana dari ( 3 a − 2 b 4 ) − 1 ( 2 a − 1 b 3 ) 2 adalah....

Jika $a \neq = 0$ dan $b \neq = 0$ maka bentuk sederhana dari $\frac{( 2 a ^{- 1} b ^{3} ) ^{2}}{( 3 a ^{- 2} b ^{4} ) ^{- 1}}$ adalah....

$fraction numerator 2 b to the power of 8 over denominator 3 a to the power of 4 end fraction$
$fraction numerator 3 b to the power of 8 over denominator 4 a to the power of 4 end fraction$
$fraction numerator 12 b to the power of 10 over denominator a to the power of 4 end fraction$
$fraction numerator 12 a to the power of 4 over denominator b to the power of 10 end fraction$

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Klaim

N. Rahayu

Master Teacher

Mahasiswa/Alumni Universitas Negeri Jakarta

Jawaban terverifikasi

Pembahasan

Dengan menggunakan sifat-sifat eksponen, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 2 a to the power of negative 1 end exponent b cubed close parentheses squared over open parentheses 3 a to the power of negative 2 end exponent b to the power of 4 close parentheses to the power of negative 1 end exponent end cell equals cell fraction numerator 2 squared a to the power of negative 2 end exponent b to the power of 6 over denominator 3 to the power of negative 1 end exponent a squared b to the power of negative 4 end exponent end fraction end cell row blank equals cell fraction numerator 4 times 3 b to the power of 6 b to the power of 4 over denominator a squared a squared end fraction end cell row blank equals cell fraction numerator 12 b to the power of 10 over denominator a to the power of 4 end fraction end cell end table$