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Bentuk sederhana dari adalah ...

Bentuk sederhana dari $begin mathsize 12px style open parentheses fraction numerator 27 a to the power of 1 half end exponent space. space b to the power of negative 3 end exponent over denominator a to the power of negative 1 end exponent b to the power of negative 3 over 2 end exponent end fraction close parentheses to the power of 2 over 3 end exponent end style$ adalah ...

$begin mathsize 12px style fraction numerator 3 a squared over denominator b end fraction end style$
$begin mathsize 12px style fraction numerator 3 cubed a over denominator b squared end fraction end style$
$begin mathsize 12px style fraction numerator 3 squared a over denominator b end fraction end style$
$begin mathsize 12px style fraction numerator a over denominator 3 squared b end fraction end style$

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$begin mathsize 14px style open parentheses fraction numerator 27 straight a to the power of 1 half end exponent straight space. straight space straight b to the power of negative 3 end exponent over denominator straight a to the power of negative 1 end exponent straight b to the power of negative 3 over 2 end exponent end fraction close parentheses to the power of 2 over 3 end exponent equals open parentheses fraction numerator 27 straight a to the power of 1 plus 1 half end exponent over denominator straight b to the power of 3 minus 3 over 2 end exponent straight space end fraction straight space close parentheses to the power of 2 over 3 end exponent equals open parentheses fraction numerator 3 cubed straight a to the power of 3 over 2 end exponent over denominator straight b to the power of 3 over 2 end exponent straight space end fraction straight space close parentheses to the power of 2 over 3 end exponent equals open parentheses fraction numerator 3 to the power of 3 straight space.2 over 3 end exponent straight a to the power of 3 over 2.2 over 3 end exponent over denominator straight b to the power of 3 over 2.2 over 3 end exponent straight space end fraction straight space close parentheses equals fraction numerator 3 squared straight a over denominator straight b end fraction end style$