Pertanyaan

Sederhanakan operasi bilangan berpangkat berikut ! d. ( y − 8 3 ) − 6 e. ( 4 3 5 a 3 2 ) 5 6 f. ( 8 8 3 b 4 3 ) 9 8

Sederhanakan operasi bilangan berpangkat berikut !

d. $(y^{- \frac{3}{8}})^{- 6}$
e. $(4^{\frac{5}{3}} a^{\frac{2}{3}})^{\frac{6}{5}}$
f. $(8^{\frac{3}{8}} b^{\frac{3}{4}})^{\frac{8}{9}}$

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D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

bentuk sederhana dari , , dan .

bentuk sederhana dari Error converting from MathML to accessible text.

, dan

Pembahasan

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

Ingatlah sifat-sifat bilangan berpangkat berikut.

left parenthesis straight i right parenthesis space 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 open parentheses a cross times b close parentheses to the power of m equals a to the power of m cross times b to the power of m

Berdasarkan sifat-sifat di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 4 to the power of 5 over 3 end exponent a to the power of 2 over 3 end exponent close parentheses to the power of 6 over 5 end exponent end cell equals cell open parentheses 4 to the power of 5 over 3 end exponent close parentheses to the power of 6 over 5 end exponent cross times open parentheses a to the power of 2 over 3 end exponent close parentheses to the power of 6 over 5 end exponent end cell row blank equals cell 4 to the power of fraction numerator up diagonal strike 5 over denominator 3 end fraction cross times fraction numerator 6 over denominator up diagonal strike 5 end fraction end exponent cross times a to the power of 2 over 3 cross times 6 over 5 end exponent end cell row blank equals cell 4 to the power of 6 over 3 end exponent cross times a to the power of 12 over 15 end exponent end cell row blank equals cell 4 squared cross times a to the power of 4 over 5 end exponent end cell row blank equals cell 16 a to the power of 4 over 5 end exponent end cell end table$

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses 8 to the power of 3 over 8 end exponent b to the power of 3 over 4 end exponent close parentheses to the power of 8 over 9 end exponent end cell equals cell open parentheses 8 to the power of 3 over 8 end exponent close parentheses to the power of 8 over 9 end exponent cross times open parentheses b to the power of 3 over 4 end exponent close parentheses to the power of 8 over 9 end exponent end cell row blank equals cell 8 to the power of fraction numerator 3 over denominator up diagonal strike 8 end fraction cross times fraction numerator up diagonal strike 8 over denominator 9 end fraction end exponent cross times b to the power of 3 over 4 cross times 8 over 9 end exponent end cell row blank equals cell 8 to the power of 3 over 9 end exponent cross times b to the power of 24 over 36 end exponent end cell row blank equals cell 8 to the power of 1 third end exponent cross times b to the power of 2 over 3 end exponent end cell row blank equals cell open parentheses 2 cubed close parentheses to the power of 1 third end exponent cross times b to the power of 2 over 3 end exponent end cell row blank equals cell 2 to the power of up diagonal strike 3 cross times fraction numerator 1 over denominator up diagonal strike 3 end fraction end exponent cross times b to the power of 2 over 3 end exponent end cell row blank equals cell 2 b to the power of 2 over 3 end exponent end cell end table$

Dengan demikian, bentuk sederhana dari Error converting from MathML to accessible text. , , dan .