Pertanyaan

Tentukan hasil pemangkatan bilangan-bilangan berikut! 4. ( 3 b 2 2 a 3 ) − 4

Tentukan hasil pemangkatan bilangan-bilangan berikut!

4. $(\frac{2 a ^{3}}{3 b ^{2}})^{- 4}$

D. Rajib

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Malang

Jawaban terverifikasi

Jawaban

hasil dari adalah .

hasil dari $open parentheses fraction numerator 2 a cubed over denominator 3 b squared end fraction close parentheses to the power of negative 4 end exponent$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 81 b to the power of 8 over denominator 16 a to the power of 12 end fraction end cell end table$ .

Pembahasan

Sebelum menjawab soal, ingatlah sifat-sifat bilangan berpangkat berikut. Berdasarkan sifat-sifat di atas, maka: Dengan demikian, hasil dari adalah .

Sebelum menjawab soal, ingatlah sifat-sifat bilangan berpangkat berikut.

Berdasarkan sifat-sifat di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 2 a cubed over denominator 3 b squared end fraction close parentheses to the power of negative 4 end exponent end cell equals cell 1 over open parentheses fraction numerator 2 a cubed over denominator 3 b squared end fraction close parentheses to the power of 4 end cell row blank equals cell open parentheses fraction numerator 3 b squared over denominator 2 a cubed end fraction close parentheses to the power of 4 end cell row blank equals cell open parentheses 3 b squared close parentheses to the power of 4 over open parentheses 2 a cubed close parentheses to the power of 4 end cell row blank equals cell fraction numerator 3 to the power of 4 b to the power of 2 cross times 4 end exponent over denominator 2 to the power of 4 a to the power of 3 cross times 4 end exponent end fraction end cell row blank equals cell fraction numerator 3 to the power of 4 b to the power of 8 over denominator 2 to the power of 4 a to the power of 12 end fraction end cell row blank equals cell fraction numerator 81 b to the power of 8 over denominator 16 a to the power of 12 end fraction end cell end table$

Dengan demikian, hasil dari $open parentheses fraction numerator 2 a cubed over denominator 3 b squared end fraction close parentheses to the power of negative 4 end exponent$ adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 81 b to the power of 8 over denominator 16 a to the power of 12 end fraction end cell end table$ .