Pertanyaan

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

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

N. Puspita

Master Teacher

Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari open parentheses straight a to the power of 4 straight b to the power of negative 3 end exponent straight c squared close parentheses to the power of negative 1 end exponent over open parentheses straight a to the power of negative 3 end exponent straight b to the power of 4 straight c cubed close parentheses squared

open parentheses straight a to the power of 4 straight b to the power of negative 3 end exponent straight c squared close parentheses to the power of negative 1 end exponent over open parentheses straight a to the power of negative 3 end exponent straight b to the power of 4 straight c cubed close parentheses squared

adalah $fraction numerator straight a squared over denominator straight b to the power of 5 straight c to the power of 8 end fraction$ .

Pembahasan

Ingatlah sifat-sifat bilangan berpangkat berikut. Berdasarkan sifat-sifat di atas, maka: Dengan demikian, bentuk sederhana dari adalah .

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 straight a to the power of 4 straight b to the power of negative 3 end exponent straight c squared close parentheses to the power of negative 1 end exponent over open parentheses straight a to the power of negative 3 end exponent straight b to the power of 4 straight c cubed close parentheses squared end cell equals cell fraction numerator straight a to the power of 4 cross times open parentheses negative 1 close parentheses end exponent straight b to the power of open parentheses negative 3 close parentheses cross times open parentheses negative 1 close parentheses end exponent straight c to the power of 2 cross times open parentheses negative 1 close parentheses end exponent over denominator straight a to the power of open parentheses negative 3 close parentheses cross times 2 end exponent straight b to the power of 4 cross times 2 end exponent straight c to the power of 3 cross times 2 end exponent end fraction end cell row blank equals cell fraction numerator straight a to the power of negative 4 end exponent straight b cubed straight c to the power of negative 2 end exponent over denominator straight a to the power of negative 6 end exponent straight b to the power of 8 straight c to the power of 6 end fraction end cell row blank equals cell straight a to the power of negative 4 minus open parentheses negative 6 close parentheses end exponent straight b to the power of 3 minus 8 end exponent straight c to the power of open parentheses negative 2 close parentheses minus 6 end exponent end cell row blank equals cell straight a to the power of negative 4 plus 6 end exponent straight b to the power of negative 5 end exponent straight c to the power of negative 8 end exponent end cell row blank equals cell straight a squared straight b to the power of negative 5 end exponent straight c to the power of negative 8 end exponent end cell row blank equals cell fraction numerator straight a squared over denominator straight b to the power of 5 straight c to the power of 8 end fraction. end cell end table$

Dengan demikian, bentuk sederhana dari adalah $fraction numerator straight a squared over denominator straight b to the power of 5 straight c to the power of 8 end fraction$ .