Pertanyaan

Sederhanakan setiap bentuk berikut ini !

Sederhanakan setiap bentuk berikut ini $fraction numerator 24 a to the power of negative 7 end exponent b to the power of negative 2 end exponent c over denominator 6 a to the power of negative 2 end exponent b to the power of negative 3 end exponent c to the power of negative 6 end exponent end fraction$ !

A. Salim

Master Teacher

Mahasiswa/Alumni Universitas Pelita Harapan

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $fraction numerator 24 a to the power of negative 2 end exponent b to the power of negative 2 end exponent c over denominator 6 a to the power of negative 2 end exponent b to the power of negative 3 end exponent c to the power of negative 6 end exponent end fraction$ adalah 4 b c to the power of 7

Pembahasan

Sifat - Sifat Pangkat 1. 2. 3. 4. 5. Dengan menggunakan sifat - sifat di atas, maka Jadi, bentuk sederhana dari adalah .

Sifat - Sifat Pangkat

1. a to the power of p times a to the power of q equals a to the power of p plus q end exponent

2. a to the power of p over a to the power of q equals a to the power of p minus q end exponent

3. a to the power of negative p end exponent equals 1 over a to the power of p

4. a to the power of 0 equals 1

5. a to the power of 1 equals a

Dengan menggunakan sifat - sifat di atas, maka

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 24 a to the power of negative 2 end exponent b to the power of negative 2 end exponent c over denominator 6 a to the power of negative 2 end exponent b to the power of negative 3 end exponent c to the power of negative 6 end exponent end fraction end cell equals cell 24 over 6 times a to the power of negative 2 end exponent times a squared times b to the power of negative 2 end exponent times b cubed times c times c to the power of 6 end cell row blank equals cell 4 times a to the power of negative 2 plus 2 end exponent times b to the power of negative 2 plus 3 end exponent times c to the power of 1 plus 6 end exponent end cell row blank equals cell 4 times a to the power of 0 times b to the power of 1 times c to the power of 7 end cell row blank equals cell 4 times 1 times b times c to the power of 7 end cell row blank equals cell 4 b c to the power of 7 end cell end table$

Jadi, bentuk sederhana dari $fraction numerator 24 a to the power of negative 2 end exponent b to the power of negative 2 end exponent c over denominator 6 a to the power of negative 2 end exponent b to the power of negative 3 end exponent c to the power of negative 6 end exponent end fraction$ adalah 4 b c to the power of 7 .