Pertanyaan

Tentukan bilangan 4 3 a 2 16 dalam bentuk bilangan berpangkat pecahan!

Tentukan bilangan $4 \frac{16}{3 a ^{2}}$ dalam bentuk bilangan berpangkat pecahan!

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk berpangkat pecahannya adalah .

bentuk berpangkat pecahannya adalah $begin mathsize 14px style fraction numerator 2 over denominator 3 to the power of begin display style 1 fourth end style end exponent a to the power of begin display style 1 half end style end exponent end fraction end style$ .

Pembahasan

Gunakan sifat: Perhatikan perhitungan berikut: Jadi, bentuk berpangkat pecahannya adalah .

Gunakan sifat:

Perhatikan perhitungan berikut:

$table attributes columnalign right center left columnspacing 2px end attributes row cell fourth root of fraction numerator 16 over denominator 3 a squared end fraction end root end cell equals cell open parentheses fraction numerator 16 over denominator 3 a squared end fraction close parentheses to the power of 1 fourth end exponent end cell row blank equals cell open parentheses fraction numerator 2 to the power of 4 over denominator 3 a squared end fraction close parentheses to the power of 1 fourth end exponent end cell row blank equals cell fraction numerator 2 to the power of begin display style 4 cross times 1 fourth end style end exponent over denominator 3 to the power of begin display style 1 fourth end style end exponent a to the power of begin display style 2 cross times 1 fourth end style end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of begin display style 4 over 4 end style end exponent over denominator 3 to the power of begin display style 1 fourth end style end exponent a to the power of begin display style 2 over 4 end style end exponent end fraction end cell row blank equals cell fraction numerator 2 over denominator 3 to the power of begin display style 1 fourth end style end exponent a to the power of begin display style 1 half end style end exponent end fraction end cell end table$

Jadi, bentuk berpangkat pecahannya adalah $begin mathsize 14px style fraction numerator 2 over denominator 3 to the power of begin display style 1 fourth end style end exponent a to the power of begin display style 1 half end style end exponent end fraction end style$ .