Pertanyaan

Tentukan hasil pemangkatan bilangan berpangkat berikut ! d. 1 6 − 2 1 × 1 6 4 1 e. 3 2 5 7 ÷ 3 2 5 3 f. 4 9 − 6 1 ÷ 4 9 3 1

Tentukan hasil pemangkatan bilangan berpangkat berikut !

d. $1 6^{- \frac{1}{2}} \times 1 6^{\frac{1}{4}}$
e. $3 2^{\frac{7}{5}} \div 3 2^{\frac{3}{5}}$
f. $4 9^{- \frac{1}{6}} \div 4 9^{\frac{1}{3}}$

D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

hasil dari , , dan .

hasil dari 16 to the power of negative 1 half end exponent cross times 16 to the power of 1 fourth end exponent equals 1 half

32 to the power of 7 over 5 end exponent divided by 32 to the power of 3 over 5 end exponent equals 16

, dan

49 to the power of negative 1 over 6 end exponent divided by 49 to the power of 1 third end exponent equals 1 over 7

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut. Berdasarkan sifat-sifat di atas, maka: d) e) f) Dengan demikian, hasil dari , , dan .

Ingatlah sifat-sifat bilangan berpangkat berikut.

Berdasarkan sifat-sifat di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell 16 to the power of negative 1 half end exponent cross times 16 to the power of 1 fourth end exponent end cell equals cell 16 to the power of negative 1 half plus 1 fourth end exponent end cell row blank equals cell 16 to the power of fraction numerator negative 2 plus 1 over denominator 4 end fraction end exponent end cell row blank equals cell 16 to the power of negative 1 fourth end exponent end cell row blank equals cell 1 over 16 to the power of begin display style 1 fourth end style end exponent end cell row blank equals cell fraction numerator 1 over denominator fourth root of 16 end fraction end cell row blank equals cell fraction numerator 1 over denominator fourth root of 2 to the power of 4 end root end fraction end cell row blank equals cell 1 half end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell 49 to the power of negative 1 over 6 end exponent divided by 49 to the power of 1 third end exponent end cell equals cell 49 to the power of negative 1 over 6 minus 1 third end exponent end cell row blank equals cell 49 to the power of fraction numerator negative 1 minus 2 over denominator 6 end fraction end exponent end cell row blank equals cell 49 to the power of negative 3 over 6 end exponent end cell row blank equals cell 49 to the power of negative 1 half end exponent end cell row blank equals cell 1 over 49 to the power of begin display style 1 half end style end exponent end cell row blank equals cell fraction numerator 1 over denominator square root of 49 end fraction end cell row blank equals cell fraction numerator 1 over denominator square root of 7 squared end root end fraction end cell row blank equals cell 1 over 7 end cell end table$

Dengan demikian, hasil dari 16 to the power of negative 1 half end exponent cross times 16 to the power of 1 fourth end exponent equals 1 half , 32 to the power of 7 over 5 end exponent divided by 32 to the power of 3 over 5 end exponent equals 16 , dan 49 to the power of negative 1 over 6 end exponent divided by 49 to the power of 1 third end exponent equals 1 over 7 .