Pertanyaan

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

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

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Jawaban terverifikasi

Jawaban

bentuk sederhana dari adalah .

bentuk sederhana dari bottom enclose begin bold style left parenthesis a squared b to the power of 6 c cubed right parenthesis end style to the power of bold 2 over begin bold style left parenthesis a to the power of negative 1 end exponent b to the power of 4 c squared right parenthesis end style to the power of bold 4 end enclose

bottom enclose begin bold style left parenthesis a squared b to the power of 6 c cubed right parenthesis end style to the power of bold 2 over begin bold style left parenthesis a to the power of negative 1 end exponent b to the power of 4 c squared right parenthesis end style to the power of bold 4 end enclose

adalah $bottom enclose fraction numerator bold a to the power of bold 8 over denominator bold b to the power of bold 4 bold c to the power of bold 2 end fraction end enclose$ .

Pembahasan

Dengan menggunakan sifat bilangan berpangkatberikut. Untuk , , , dan berlaku: bentuk sederhana dari sebagai berikut. Dengan demikian,bentuk sederhana dari adalah .

Dengan menggunakan sifat bilangan berpangkat berikut.

Untuk a comma b element of R , a not equal to 0 , b not equal to 0 , dan m comma n element of R berlaku:

bentuk sederhana dari open parentheses a squared b to the power of 6 c cubed close parentheses squared over open parentheses a to the power of negative 1 end exponent b to the power of 4 c squared close parentheses to the power of 4 sebagai berikut.

$table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses a squared b to the power of 6 c cubed close parentheses squared over open parentheses a to the power of negative 1 end exponent b to the power of 4 c squared close parentheses to the power of 4 end cell equals cell fraction numerator open parentheses a squared close parentheses squared open parentheses b to the power of 6 close parentheses squared open parentheses c cubed close parentheses squared over denominator open parentheses a to the power of negative 1 end exponent close parentheses to the power of 4 open parentheses b to the power of 4 close parentheses to the power of 4 open parentheses c squared close parentheses to the power of 4 end fraction space space space space space space space space space space space space space space space Sifat space 1 end cell row blank equals cell fraction numerator a to the power of 4 b to the power of 12 c to the power of 6 over denominator a to the power of negative 4 end exponent b to the power of 16 c to the power of 8 end fraction space space space space space space space space space space space space space space space space space space space space space space space space space Sifat space 2 end cell row blank equals cell a to the power of open parentheses 4 minus open parentheses negative 4 close parentheses close parentheses end exponent b to the power of open parentheses 12 minus 16 close parentheses end exponent c to the power of open parentheses 6 minus 8 close parentheses space space space end exponent space space space Sifat space 3 end cell row blank equals cell a to the power of 8 b to the power of negative 4 end exponent c to the power of negative 2 end exponent end cell row blank equals cell fraction numerator a to the power of 8 over denominator b to the power of 4 c squared end fraction space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space space Sifat space 4 end cell end table$

Dengan demikian, bentuk sederhana dari bottom enclose begin bold style left parenthesis a squared b to the power of 6 c cubed right parenthesis end style to the power of bold 2 over begin bold style left parenthesis a to the power of negative 1 end exponent b to the power of 4 c squared right parenthesis end style to the power of bold 4 end enclose adalah $bottom enclose fraction numerator bold a to the power of bold 8 over denominator bold b to the power of bold 4 bold c to the power of bold 2 end fraction end enclose$ .