Pertanyaan

16 a − 2 b 2 4 a 4 b − 3 = ....

$\frac{4 a ^{4} b ^{- 3}}{16 a ^{- 2} b ^{2}} =$ ....

$begin mathsize 14px style fraction numerator a to the power of 5 over denominator 4 b to the power of 6 end fraction end style$
$begin mathsize 14px style fraction numerator a to the power of 5 over denominator 12 b to the power of 6 end fraction end style$
$begin mathsize 14px style fraction numerator a to the power of 6 over denominator 4 b to the power of 5 end fraction end style$
$begin mathsize 14px style fraction numerator a to the power of 6 over denominator 12 b to the power of 5 end fraction end style$

D. Riansyah

Master Teacher

Jawaban terverifikasi

Pembahasan

Ingat sifat eksponen a n a m = a m − n Kemudian perhatikan bahwa Jadi, jawaban yang tepat adalah C.

Ingat sifat eksponen

$\frac{a ^{m}}{a ^{n}} = a^{m - n}$

Kemudian perhatikan bahwa

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 4 a to the power of 4 b to the power of negative 3 end exponent over denominator 16 a to the power of negative 2 end exponent b squared end fraction end cell equals cell fraction numerator 4 a to the power of 4 minus open parentheses negative 2 close parentheses end exponent over denominator 16 b to the power of 2 minus open parentheses negative 3 close parentheses end exponent end fraction end cell row blank equals cell fraction numerator up diagonal strike 4 a to the power of 4 plus 2 end exponent over denominator up diagonal strike 16 subscript 4 b to the power of 3 plus 2 end exponent end fraction end cell row blank equals cell box enclose fraction numerator a to the power of 6 over denominator 4 b to the power of 5 end fraction end enclose end cell end table$

Jadi, jawaban yang tepat adalah C.