Pertanyaan

Tentukan hasil pemangkatan bilangan berpangkat berikut ! g. 6 4 2 1 ÷ 6 4 6 7 h. 8 1 − 2 1 ÷ 8 1 − 4 3

Tentukan hasil pemangkatan bilangan berpangkat berikut !

g. $6 4^{\frac{1}{2}} \div 6 4^{\frac{7}{6}}$
h. $8 1^{- \frac{1}{2}} \div 8 1^{- \frac{3}{4}}$

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D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

hasil dari , dan .

hasil dari 64 to the power of 1 half end exponent divided by 64 to the power of 7 over 6 end exponent equals 1 over 16

, dan

81 to the power of negative 1 half end exponent divided by 81 to the power of negative 3 over 4 end exponent equals 3

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut. Berdasarkan sifat-sifat di atas, maka: g) h) Dengan demikian, hasil dari , dan .

Ingatlah sifat-sifat bilangan berpangkat berikut.

Berdasarkan sifat-sifat di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell 64 to the power of 1 half end exponent divided by 64 to the power of 7 over 6 end exponent end cell equals cell 64 to the power of 1 half minus 7 over 6 end exponent end cell row blank equals cell 64 to the power of fraction numerator 3 minus 7 over denominator 6 end fraction end exponent end cell row blank equals cell 64 to the power of negative 4 over 6 end exponent end cell row blank equals cell 64 to the power of negative 2 over 3 end exponent end cell row blank equals cell 1 over 64 to the power of begin display style 2 over 3 end style end exponent end cell row blank equals cell fraction numerator 1 over denominator cube root of 64 squared end root end fraction end cell row blank equals cell fraction numerator 1 over denominator cube root of open parentheses 2 to the power of 6 close parentheses squared end root end fraction end cell row blank equals cell fraction numerator 1 over denominator cube root of 2 to the power of 6 cross times 2 end exponent end root end fraction end cell row blank equals cell fraction numerator 1 over denominator cube root of 2 to the power of 12 end root end fraction end cell row blank equals cell 1 over 2 to the power of begin display style 12 over 3 end style end exponent end cell row blank equals cell 1 over 2 to the power of 4 end cell row blank equals cell 1 over 16 end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell 81 to the power of negative 1 half end exponent divided by 81 to the power of negative 3 over 4 end exponent end cell equals cell 81 to the power of negative 1 half minus open parentheses negative 3 over 4 close parentheses end exponent end cell row blank equals cell 81 to the power of negative 1 half plus 3 over 4 end exponent end cell row blank equals cell 81 to the power of fraction numerator negative 2 plus 3 over denominator 4 end fraction end exponent end cell row blank equals cell 81 to the power of 1 fourth end exponent end cell row blank equals cell fourth root of 81 end cell row blank equals cell fourth root of 3 to the power of 4 end root end cell row blank equals 3 end table$

Dengan demikian, hasil dari 64 to the power of 1 half end exponent divided by 64 to the power of 7 over 6 end exponent equals 1 over 16 , dan 81 to the power of negative 1 half end exponent divided by 81 to the power of negative 3 over 4 end exponent equals 3 .