Pertanyaan

Sederhanakan operasi bilangan berpangkat berikut ! g. ( x 5 3 y − 5 2 ) − 6 5 h. ( x − 6 5 y 3 2 ) − 10 3

Sederhanakan operasi bilangan berpangkat berikut !

g. $(x^{\frac{3}{5}} y^{- \frac{2}{5}})^{- \frac{5}{6}}$
h. $(x^{- \frac{5}{6}} y^{\frac{2}{3}})^{- \frac{3}{10}}$

D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

bentuk sederhana dari , dan .

bentuk sederhana dari

open parentheses x to the power of 3 over 5 end exponent y to the power of negative 2 over 5 end exponent close parentheses to the power of negative 5 over 6 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell y to the power of begin display style 1 third end style end exponent over x to the power of begin display style 1 half end style end exponent end cell end table

, dan

open parentheses x to the power of negative 5 over 6 end exponent y to the power of 2 over 3 end exponent close parentheses to the power of negative 3 over 10 end exponent equals table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell x to the power of begin display style 1 fourth end style end exponent over y to the power of begin display style 1 fifth end style end exponent end cell end table

Pembahasan

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

Ingatlah sifat-sifat bilangan berpangkat berikut.

Berdasarkan sifat-sifat di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses x to the power of 3 over 5 end exponent y to the power of negative 2 over 5 end exponent close parentheses to the power of negative 5 over 6 end exponent end cell equals cell open parentheses x to the power of 3 over 5 end exponent close parentheses to the power of negative 5 over 6 end exponent times open parentheses y to the power of negative 2 over 5 end exponent close parentheses to the power of negative 5 over 6 end exponent end cell row blank equals cell x to the power of fraction numerator 3 over denominator up diagonal strike 5 end fraction cross times open parentheses negative fraction numerator up diagonal strike 5 over denominator 6 end fraction close parentheses end exponent times y to the power of negative fraction numerator 2 over denominator up diagonal strike 5 end fraction cross times open parentheses negative fraction numerator up diagonal strike 5 over denominator 6 end fraction close parentheses end exponent end cell row blank equals cell x to the power of negative 3 over 6 end exponent times y to the power of 2 over 6 end exponent end cell row blank equals cell x to the power of negative 1 half end exponent times y to the power of 1 third end exponent end cell row blank equals cell y to the power of begin display style 1 third end style end exponent over x to the power of begin display style 1 half end style end exponent end cell end table$

Dengan demikian, bentuk sederhana dari , dan .