Pertanyaan

= ....

$begin mathsize 14px style open parentheses fraction numerator 27 a to the power of 1 half end exponent b to the power of negative 3 end exponent over denominator a to the power of negative 1 end exponent b to the power of negative 3 over 2 end exponent end fraction close parentheses to the power of 2 over 3 end exponent end style$ = ....

$begin mathsize 14px style fraction numerator 3 a squared over denominator b end fraction end style$
$begin mathsize 14px style fraction numerator 3 cubed a over denominator b squared end fraction end style$
$begin mathsize 14px style fraction numerator 3 squared a over denominator b end fraction end style$
$begin mathsize 14px style fraction numerator a over denominator 3 squared b end fraction end style$

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell open parentheses fraction numerator 27 a to the power of 1 half end exponent 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 cell equals cell open parentheses 27 a to the power of 1 half minus open parentheses negative 1 close parentheses end exponent b to the power of negative 3 minus open parentheses negative 3 over 2 close parentheses end exponent close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell open parentheses 27 a to the power of 3 over 2 end exponent b to the power of negative 3 over 2 end exponent close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell open parentheses fraction numerator 27 a to the power of 3 over 2 end exponent over denominator b to the power of 3 over 2 end exponent end fraction close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell open parentheses 27 a to the power of 3 over 2 end exponent close parentheses to the power of 2 over 3 end exponent over open parentheses b to the power of 3 over 2 end exponent close parentheses to the power of 2 over 3 end exponent end cell row blank equals cell fraction numerator open parentheses 27 close parentheses to the power of 2 over 3 end exponent open parentheses a to the power of 3 over 2 end exponent close parentheses to the power of 2 over 3 end exponent over denominator open parentheses b to the power of 3 over 2 end exponent close parentheses to the power of 2 over 3 end exponent end fraction end cell row blank equals cell fraction numerator open parentheses 3 cubed close parentheses to the power of 2 over 3 end exponent open parentheses a to the power of 3 over 2 end exponent close parentheses to the power of 2 over 3 end exponent over denominator open parentheses b to the power of 3 over 2 end exponent close parentheses to the power of 2 over 3 end exponent end fraction end cell row blank equals cell fraction numerator 3 to the power of 3 open parentheses 2 over 3 close parentheses end exponent a to the power of 3 over 2 open parentheses 2 over 3 close parentheses end exponent over denominator b to the power of 3 over 2 open parentheses 2 over 3 close parentheses end exponent end fraction end cell row blank equals cell box enclose fraction numerator 3 squared a over denominator b end fraction end enclose end cell end table end style$