Pertanyaan

Bentuk sederhana dari ( a − 3 b − 1 c a − 3 b 2 c 4 ) − 2 !

Bentuk sederhana dari $(\frac{a ^{- 3} b ^{2} c ^{4}}{a ^{- 3} b ^{- 1} c})^{- 2}$ !

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Jawaban terverifikasi

Jawaban

bentuk sederhana bilangan berpangkat di atas adalah .

bentuk sederhana bilangan berpangkat di atas adalah b to the power of negative 6 end exponent c to the power of negative 6 end exponent

Pembahasan

Ingat kembali sifat bilangan berpangkat berikut: Maka: Jadi, bentuk sederhana bilangan berpangkat di atas adalah .

Ingat kembali sifat bilangan berpangkat berikut:

a to the power of 0 equals 1 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 a to the power of m over a to the power of n equals a to the power of m minus n end exponent 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

Maka:

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a to the power of negative 3 end exponent b squared c to the power of 4 over denominator a to the power of negative 3 end exponent b to the power of negative 1 end exponent c end fraction close parentheses to the power of negative 2 end exponent end cell equals cell open parentheses a to the power of negative 3 minus open parentheses negative 3 close parentheses end exponent b to the power of 2 minus left parenthesis negative 1 right parenthesis end exponent c to the power of 4 minus 1 end exponent close parentheses to the power of negative 2 end exponent end cell row blank equals cell open parentheses a to the power of 0 b cubed c cubed close parentheses to the power of negative 2 end exponent end cell row blank equals cell open parentheses 1 b cubed c cubed close parentheses to the power of negative 2 end exponent end cell row blank equals cell b to the power of 3 cross times open parentheses negative 2 close parentheses end exponent c to the power of 3 cross times open parentheses negative 2 close parentheses end exponent end cell row blank equals cell b to the power of negative 6 end exponent c to the power of negative 6 end exponent end cell end table end style$

Jadi, bentuk sederhana bilangan berpangkat di atas adalah b to the power of negative 6 end exponent c to the power of negative 6 end exponent .