Pertanyaan

Bentuk akar yang paling sederhana dari 8 4 32 × 3 16 adalah ...

Bentuk akar yang paling sederhana dari $\frac{4 32 \times 3 16}{8}$ adalah ...

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

jawaban yang tepat adalah B.

Pembahasan

Ingat! Sifat bilangan berpangkat: Maka: Jadi, jawaban yang tepat adalah B.

Ingat!

Sifat bilangan berpangkat:

Maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator fourth root of 32 cross times cube root of 16 over denominator square root of 8 end fraction end cell equals cell fraction numerator fourth root of 2 to the power of 5 end root cross times cube root of 2 to the power of 4 end root over denominator square root of 2 cubed end root end fraction end cell row blank equals cell fraction numerator 2 to the power of begin display style 5 over 4 end style end exponent cross times 2 to the power of begin display style 4 over 3 end style end exponent over denominator 2 to the power of begin display style 3 over 2 end style end exponent end fraction end cell row blank equals cell 2 to the power of begin display style 5 over 4 end style plus begin display style 4 over 3 end style end exponent over 2 to the power of begin display style 3 over 2 end style end exponent end cell row blank equals cell 2 to the power of begin display style fraction numerator 15 plus 16 over denominator 12 end fraction end style end exponent over 2 to the power of begin display style 3 over 2 end style end exponent end cell row blank equals cell 2 to the power of begin display style 31 over 12 end style end exponent over 2 to the power of begin display style 3 over 2 end style end exponent end cell row blank equals cell 2 to the power of 31 over 12 minus 3 over 2 end exponent end cell row blank equals cell 2 to the power of fraction numerator 31 minus 18 over denominator 12 end fraction end exponent end cell row blank equals cell 2 to the power of 13 over 12 end exponent end cell row blank equals cell 2 to the power of 12 over 12 end exponent cross times 2 to the power of 1 over 12 end exponent end cell row blank equals cell 2 space root index 12 of 2 end cell end table$

Jadi, jawaban yang tepat adalah B.