Pertanyaan

Tentukan bentuk sederhana dari ( 8 5 ) 3 ( 5 2 ) − 3 × ( 4 1 ) − 2 !

Tentukan bentuk sederhana dari $\frac{( \frac{2}{5} ) ^{- 3} \times ( \frac{1}{4} ) ^{- 2}}{( \frac{5}{8} ) ^{3}}$ !

I. Sutiawan

Master Teacher

Mahasiswa/Alumni Universitas Pasundan

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses begin display style 2 over 5 end style close parentheses to the power of negative 3 end exponent cross times open parentheses begin display style 1 fourth end style close parentheses to the power of negative 2 end exponent over denominator open parentheses begin display style 5 over 8 end style close parentheses cubed end fraction end cell end table$ adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1.024 end cell end table

table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1.024 end cell end table

Pembahasan

Ingat! Definisi bilangan berpangkat: Sifat bilangan berpangkat: Maka: Dengan demikian, bentuk sederhana dari adalah .

Ingat!

Definisi bilangan berpangkat:

Sifat bilangan berpangkat:

Maka:

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator open parentheses begin display style 2 over 5 end style close parentheses to the power of negative 3 end exponent cross times open parentheses begin display style 1 fourth end style close parentheses to the power of negative 2 end exponent over denominator open parentheses begin display style 5 over 8 end style close parentheses cubed end fraction end cell equals cell fraction numerator begin display style 1 over open parentheses begin display style 2 over 5 end style close parentheses cubed end style cross times begin display style 1 over open parentheses begin display style 1 fourth end style close parentheses squared end style over denominator open parentheses begin display style 5 over 8 end style close parentheses cubed end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 1 over denominator begin display style 2 over 5 end style cross times begin display style 2 over 5 end style cross times begin display style 2 over 5 end style end fraction end style cross times begin display style fraction numerator 1 over denominator begin display style 1 fourth end style cross times begin display style 1 fourth end style end fraction end style over denominator begin display style 5 over 8 end style cross times begin display style 5 over 8 end style cross times begin display style 5 over 8 end style end fraction end cell row blank equals cell fraction numerator begin display style fraction numerator 1 over denominator begin display style 8 over 125 end style end fraction end style cross times begin display style fraction numerator 1 over denominator begin display style 1 over 16 end style end fraction end style over denominator begin display style 125 over 512 end style end fraction end cell row blank equals cell fraction numerator 1 cross times begin display style fraction numerator up diagonal strike 125 over denominator 8 end fraction end style cross times 1 cross times begin display style 16 over 1 end style over denominator begin display style fraction numerator up diagonal strike 125 over denominator 512 end fraction end style end fraction end cell row blank equals cell 2 cross times 512 over 1 end cell row blank equals cell 1.024 end cell end table$

Dengan demikian, bentuk sederhana dari $table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator open parentheses begin display style 2 over 5 end style close parentheses to the power of negative 3 end exponent cross times open parentheses begin display style 1 fourth end style close parentheses to the power of negative 2 end exponent over denominator open parentheses begin display style 5 over 8 end style close parentheses cubed end fraction end cell end table$ adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell 1.024 end cell end table .