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Bentuk sederhana dari  adalah ...

Pertanyaan

Bentuk sederhana dari fraction numerator straight a to the power of 6 straight b to the power of negative 6 end exponent cross times straight a to the power of negative 1 end exponent straight b to the power of 5 over denominator straight a cubed straight b to the power of negative 1 end exponent end fraction adalah ...

Pembahasan Soal:

Untuk menyederhanakan bentuk soal di atas, ingatlah sifat bilangan berpangkat berikut:

left parenthesis straight i right parenthesis space straight a to the power of straight m cross times straight a to the power of straight n equals straight a to the power of straight m plus straight n end exponent left parenthesis ii right parenthesis space straight a to the power of straight m over straight a to the power of straight n equals straight a to the power of straight m minus straight n end exponent 

Berdasarkan sifat di atas, maka:

table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator straight a to the power of 6 straight b to the power of negative 6 end exponent cross times straight a to the power of negative 1 end exponent straight b to the power of 5 over denominator straight a cubed straight b to the power of negative 1 end exponent end fraction end cell equals cell fraction numerator straight a to the power of 6 minus 1 end exponent straight b to the power of negative 6 plus 5 end exponent over denominator straight a cubed straight b to the power of negative 1 end exponent end fraction end cell row blank equals cell fraction numerator straight a to the power of 5 straight b to the power of negative 1 end exponent over denominator straight a cubed straight b to the power of negative 1 end exponent end fraction end cell row blank equals cell straight a to the power of 5 minus 3 end exponent straight b to the power of negative 1 minus left parenthesis negative 1 right parenthesis end exponent end cell row blank equals cell straight a squared straight b to the power of 0 end cell row blank equals cell straight a squared. end cell end table 

Jai, bentuk sederhana dari fraction numerator straight a to the power of 6 straight b to the power of negative 6 end exponent cross times straight a to the power of negative 1 end exponent straight b to the power of 5 over denominator straight a cubed straight b to the power of negative 1 end exponent end fraction adalah straight a squared.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 05 Mei 2021

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