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Dalam bentuk pangkat rasional, maka x 3 ⋅ 3 x 5 ⋅ 4 x 2 ​ ​ ​ ....

Dalam bentuk pangkat rasional, maka  ....

  1. begin mathsize 14px style x to the power of 9 over 12 end exponent end style 

  2. begin mathsize 14px style x to the power of 19 over 6 end exponent end style 

  3. begin mathsize 14px style x to the power of 19 over 12 end exponent end style 

  4. begin mathsize 14px style x to the power of 29 over 6 end exponent end style 

  5. begin mathsize 14px style x to the power of 29 over 12 end exponent end style 

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M. Robo

Master Teacher

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Ingat bahwa dan . Sehingga

Ingat bahwa begin mathsize 14px style c-th root of x to the power of b end root equals x to the power of b over c end exponent end style dan begin mathsize 14px style x to the power of b times x to the power of c equals x to the power of b plus c end exponent end style . Sehingga

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell square root of x cubed times cube root of x to the power of 5 times fourth root of x squared end root end root end root end cell equals cell square root of x cubed times cube root of x to the power of 5 times x to the power of 2 over 4 end exponent end root end root end cell row blank equals cell square root of x cubed times cube root of x to the power of 5 times x to the power of 1 half end exponent end root end root end cell row blank equals cell square root of x cubed times cube root of x to the power of 5 plus 1 half end exponent end root end root end cell row blank equals cell square root of x cubed times cube root of x to the power of 11 over 2 end exponent end root end root end cell row blank equals cell square root of x cubed times x to the power of fraction numerator 11 over 2 over denominator 3 end fraction end exponent end root end cell row blank equals cell square root of x cubed times x to the power of 11 over 2 times 1 third end exponent end root end cell row blank equals cell square root of x cubed times x to the power of 11 over 6 end exponent end root end cell row blank equals cell square root of x to the power of 3 plus 11 over 6 end exponent end root end cell row blank equals cell square root of x to the power of 29 over 6 end exponent end root end cell row blank equals cell x to the power of fraction numerator 29 over 6 over denominator 2 end fraction end exponent end cell row blank equals cell x to the power of 29 over 6 times 1 half end exponent end cell row blank equals cell x to the power of 29 over 12 end exponent end cell end table end style 

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Jika x > 0 dan x ≠ 1 memenuhi x 4 x 3 x ​ ​ ​ = x p dengan p adalah bilangan rasional, maka p = ....

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5.0

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