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Bentuk sederhana dari ⎝ ⎛ ​ b 2 1 ​ ( ab ) a − 2 b 2 1 ​ ​ ⎠ ⎞ ​ 2 adalah ...

Bentuk sederhana dari  adalah ...

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S. Ayu

Master Teacher

Mahasiswa/Alumni Universitas Muhammadiyah Prof. DR. Hamka

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Pembahasan

Diperoleh bentuk sederhananya yaitu: Maka, bentuk sederhana dari adalah .

Diperoleh bentuk sederhananya yaitu:

table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator a to the power of negative 2 end exponent b to the power of begin display style 1 half end style end exponent over denominator b to the power of begin display style 1 half end style end exponent open parentheses a b close parentheses end fraction close parentheses squared end cell equals cell fraction numerator a to the power of negative 2 open parentheses 2 close parentheses end exponent b to the power of begin display style fraction numerator 1 over denominator down diagonal strike 2 end fraction end style open parentheses down diagonal strike 2 close parentheses end exponent over denominator b to the power of begin display style fraction numerator 1 over denominator down diagonal strike 2 end fraction end style open parentheses down diagonal strike 2 close parentheses end exponent a squared b squared end fraction end cell row blank equals cell fraction numerator a to the power of negative 4 end exponent b over denominator b to the power of 1 plus 2 end exponent a squared end fraction end cell row blank equals cell fraction numerator a to the power of negative 4 end exponent b over denominator b cubed a squared end fraction end cell row blank equals cell a to the power of negative 4 minus 2 end exponent b to the power of 1 minus 3 end exponent end cell row blank equals cell a to the power of negative 6 end exponent b to the power of negative 2 end exponent end cell row blank equals cell fraction numerator 1 over denominator a to the power of 6 b squared end fraction end cell end table

Maka, bentuk sederhana dari open parentheses fraction numerator a to the power of negative 2 end exponent b to the power of begin display style 1 half end style end exponent over denominator b to the power of begin display style 1 half end style end exponent open parentheses a b close parentheses end fraction close parentheses squared adalah fraction numerator 1 over denominator a to the power of 6 b squared end fraction.

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