Pertanyaan

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

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

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M. Iqbal

Master Teacher

Mahasiswa/Alumni Universitas Negeri Semarang

Jawaban terverifikasi

Pembahasan

$fraction numerator 2 to the power of 5 over 12 end exponent space 12 to the power of 5 over 6 end exponent over denominator 8 to the power of 3 over 4 end exponent space 6 to the power of 1 third end exponent end fraction equals fraction numerator 2 to the power of 5 over 12 end exponent space 3 to the power of 5 over 6 end exponent space open parentheses 2 squared close parentheses to the power of 5 over 6 end exponent over denominator open parentheses 2 cubed close parentheses to the power of 3 over 4 end exponent space 3 to the power of 1 third end exponent space 2 to the power of 1 third end exponent end fraction space space space space space space space space space space space space space space space space space space equals fraction numerator 2 to the power of 1 over 12 end exponent space 3 to the power of 1 half end exponent space 2 to the power of 5 over 3 end exponent over denominator 2 to the power of 9 over 4 end exponent end fraction space space space space space space space space space space space space space space space space space space space equals fraction numerator 2 to the power of 1 over 12 end exponent space 3 to the power of 1 half end exponent over denominator 2 to the power of 7 over 12 end exponent end fraction space space space space space space space space space space space space space space space space space space space equals 3 to the power of 1 half end exponent over 2 to the power of 1 half end exponent space space space space space space space space space space space space space space space space space space space equals open parentheses 3 over 2 close parentheses to the power of 1 half end exponent$