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Pertanyaan

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

Tentukan hasil pemangkatan bilangan-bilangan berikut!

4.

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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.

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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.

left parenthesis straight i right parenthesis space open parentheses a to the power of m close parentheses to the power of n equals a to the power of m cross times n end exponent left parenthesis ii right parenthesis space a to the power of negative m end exponent equals 1 over a to the power of m left parenthesis iii right parenthesis space open parentheses a b close parentheses to the power of m equals a to the power of m b to the power of m left parenthesis iv right parenthesis space open parentheses a over b close parentheses to the power of m equals a to the power of m over b to the power of m

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.

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