Pertanyaan

Bentuk sederhana dari 8 4 3 6 3 1 2 12 5 1 2 6 5 adalah ...

Bentuk sederhana dari $\frac{2 ^{\frac{5}{12}} 1 2 ^{\frac{5}{6}}}{8 ^{\frac{3}{4}} 6 ^{\frac{1}{3}}}$ adalah ...

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Klaim

A. Acfreelance

Master Teacher

Jawaban terverifikasi

Pembahasan

$table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 2 to the power of 5 over 12 end exponent space 12 to the power of 5 over 6 end exponent over denominator 8 to the power of 3 over 4 end exponent space 6 to the power of 1 third end exponent end fraction end cell equals cell fraction numerator 2 to the power of 5 over 12 end exponent space open parentheses 3.2 squared close parentheses to the power of 5 over 6 end exponent over denominator open parentheses 2 cubed close parentheses to the power of 3 over 4 end exponent space space left parenthesis 3.2 right parenthesis to the power of 1 third end exponent end fraction end cell row blank equals cell fraction numerator 2 to the power of 5 over 12 end exponent space 3 to the power of 5 over 6 end exponent space 2 to the power of 10 over 6 end exponent over denominator 2 to the power of 9 over 4 end exponent space 3 to the power of 1 third end exponent space 2 to the power of 1 third end exponent end fraction end cell row blank equals cell 2 to the power of 5 over 12 plus 10 over 6 minus 9 over 4 minus 1 third end exponent. space 3 to the power of 5 over 6 minus 1 third end exponent end cell row blank equals cell 2 to the power of fraction numerator 5 plus 20 minus 27 minus 4 over denominator 12 end fraction end exponent. space 3 to the power of fraction numerator 5 minus 2 over denominator 6 end fraction end exponent end cell row blank equals cell 2 to the power of fraction numerator negative 6 over denominator 12 end fraction end exponent. space 3 to the power of 3 over 6 end exponent end cell row blank equals cell 2 to the power of fraction numerator negative 1 over denominator 2 end fraction end exponent. space 3 to the power of 1 half end exponent end cell row blank equals cell 3 to the power of 1 half end exponent over 2 to the power of 1 half end exponent end cell row blank equals cell left parenthesis 3 over 2 right parenthesis to the power of 1 half end exponent end cell end table$