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Bentuk sederhana dari  adalah ...

Bentuk sederhana dari fraction numerator 21 straight a to the power of negative 7 end exponent straight b to the power of negative 2 end exponent straight c over denominator 7 straight a to the power of negative 2 end exponent straight b to the power of negative 3 end exponent straight c to the power of negative 6 end exponent end fraction adalah ...

Jawaban:

Menyederhanakan bentuk dari fraction numerator 21 straight a to the power of negative 7 end exponent straight b to the power of negative 2 end exponent straight c over denominator 7 straight a to the power of negative 2 end exponent straight b to the power of negative 3 end exponent straight c to the power of negative 6 end exponent end fraction dengan menggunakan konsep sifat bilangan berpangkat: bentuk pembagian berpangkat.
Maka,

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 21 straight a to the power of negative 7 end exponent straight b to the power of negative 2 end exponent straight c over denominator 7 straight a to the power of negative 2 end exponent straight b to the power of negative 3 end exponent straight c to the power of negative 6 end exponent end fraction end cell equals cell fraction numerator 3 straight a to the power of negative 7 end exponent straight b to the power of negative 2 end exponent straight c over denominator straight a to the power of negative 2 end exponent straight b to the power of negative 3 end exponent straight c to the power of negative 6 end exponent end fraction end cell row blank equals cell fraction numerator 3 straight a to the power of negative 7 end exponent straight b to the power of negative 2 plus 3 end exponent straight c to the power of 1 plus 6 end exponent over denominator straight a to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 3 straight a to the power of negative 7 end exponent bc to the power of 7 over denominator straight a to the power of negative 2 end exponent end fraction end cell row blank equals cell fraction numerator 3 straight a to the power of negative 7 end exponent bc over denominator straight a to the power of negative 2 end exponent straight c to the power of negative 6 end exponent end fraction end cell row blank equals cell fraction numerator 3 bc to the power of 7 over denominator straight a to the power of negative 2 minus open parentheses negative 7 close parentheses end exponent end fraction end cell row blank equals cell fraction numerator 3 bc to the power of 7 over denominator straight a to the power of 5 end fraction end cell end table

Jadi, bentuk sederhana dari fraction numerator 21 straight a to the power of negative 7 end exponent straight b to the power of negative 2 end exponent straight c over denominator 7 straight a to the power of negative 2 end exponent straight b to the power of negative 3 end exponent straight c to the power of negative 6 end exponent end fraction adalah table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator 3 bc to the power of 7 over denominator straight a to the power of 5 end fraction end cell end table.

 

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