Pertanyaan

Bentuk sederhana dari ( 6 a − 1 b − 5 c 6 2 a 3 b − 2 c 4 ) 2 adalah ...

Bentuk sederhana dari $(\frac{2 a ^{3} b ^{- 2} c ^{4}}{6 a ^{- 1} b ^{- 5} c ^{6}})^{2}$ adalah ...

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bentuk sederhana

bentuk sederhana $open parentheses fraction numerator 2 a cubed b to the power of negative 2 end exponent c to the power of 4 over denominator 6 a to the power of negative 1 end exponent b to the power of negative 5 end exponent c to the power of 6 end fraction close parentheses squared equals fraction numerator a to the power of 8 b to the power of 6 over denominator 9 c to the power of 4 end fraction$

Pembahasan

Bentuk sederhana dari adalah sebagai berikut. Dengan demikian, bentuk sederhana

Bentuk sederhana dari $open parentheses fraction numerator 2 a cubed b to the power of negative 2 end exponent c to the power of 4 over denominator 6 a to the power of negative 1 end exponent b to the power of negative 5 end exponent c to the power of 6 end fraction close parentheses squared$ adalah sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 2 a cubed b to the power of negative 2 end exponent c to the power of 4 over denominator 6 a to the power of negative 1 end exponent b to the power of negative 5 end exponent c to the power of 6 end fraction close parentheses squared end cell equals cell open parentheses 1 third a to the power of 3 minus open parentheses negative 1 close parentheses end exponent b to the power of negative 2 minus open parentheses negative 5 close parentheses end exponent c to the power of 4 minus 6 end exponent close parentheses squared end cell row blank equals cell open parentheses 1 third a to the power of 4 b cubed c to the power of negative 2 end exponent close parentheses squared end cell row blank equals cell open parentheses fraction numerator a to the power of 4 b cubed over denominator 3 c squared end fraction close parentheses squared end cell row blank equals cell fraction numerator a to the power of 8 b to the power of 6 over denominator 9 c to the power of 4 end fraction end cell end table$

Dengan demikian, bentuk sederhana $open parentheses fraction numerator 2 a cubed b to the power of negative 2 end exponent c to the power of 4 over denominator 6 a to the power of negative 1 end exponent b to the power of negative 5 end exponent c to the power of 6 end fraction close parentheses squared equals fraction numerator a to the power of 8 b to the power of 6 over denominator 9 c to the power of 4 end fraction$