Pertanyaan

Sederhanakan pemangkatan bilangan-bilangan berikut! 2. ( x 9 2 y − 3 4 ) − 8 9

Sederhanakan pemangkatan bilangan-bilangan berikut!

2. $(x^{\frac{2}{9}} y^{- \frac{4}{3}})^{- \frac{9}{8}}$

D. Nuryani

Master Teacher

Mahasiswa/Alumni Universitas Padjadjaran

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari open parentheses x to the power of 2 over 9 end exponent y to the power of negative 4 over 3 end exponent close parentheses to the power of negative 9 over 8 end exponent

open parentheses x to the power of 2 over 9 end exponent y to the power of negative 4 over 3 end exponent close parentheses to the power of negative 9 over 8 end exponent

adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator y space square root of y over denominator fourth root of x end fraction end cell end table$ .

Pembahasan

Sebelum menjawab soal, ingatlah sifat-sifat bilangan berpangkat pecahan berikut. Berdasarkan sifat-sifat di atas, maka: Dengan demikian, bentuk sederhana dari adalah .

Sebelum menjawab soal, ingatlah sifat-sifat bilangan berpangkat pecahan berikut.

Berdasarkan sifat-sifat di atas, maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses x to the power of 2 over 9 end exponent y to the power of negative 4 over 3 end exponent close parentheses to the power of negative 9 over 8 end exponent end cell equals cell x to the power of fraction numerator 2 over denominator up diagonal strike 9 end fraction cross times open parentheses negative fraction numerator up diagonal strike 9 over denominator 8 end fraction close parentheses end exponent y to the power of negative 4 over 3 cross times open parentheses negative 9 over 8 close parentheses end exponent end cell row blank equals cell x to the power of negative 2 over 8 end exponent y to the power of 36 over 24 end exponent end cell row blank equals cell x to the power of negative 1 fourth end exponent y to the power of 3 over 2 end exponent end cell row blank equals cell y to the power of begin display style 3 over 2 end style end exponent over x to the power of begin display style 1 fourth end style end exponent end cell row blank equals cell y to the power of 1 begin display style 1 half end style end exponent over x to the power of 1 fourth end exponent end cell row blank equals cell fraction numerator y space square root of y over denominator fourth root of x end fraction end cell end table$

Dengan demikian, bentuk sederhana dari open parentheses x to the power of 2 over 9 end exponent y to the power of negative 4 over 3 end exponent close parentheses to the power of negative 9 over 8 end exponent adalah $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator y space square root of y over denominator fourth root of x end fraction end cell end table$ .