Pertanyaan

Bentuk sederhana dari 6 2 3 × 2 − 4 1 3 6 5 × 1 2 12 7 adalah ...

Bentuk sederhana dari $\frac{3 ^{\frac{5}{6}} \times 1 2 ^{\frac{7}{12}}}{6 ^{\frac{3}{2}} \times 2 ^{- \frac{1}{4}}}$ adalah ...

M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

Jawaban terverifikasi

Pembahasan

$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fraction numerator 3 to the power of begin display style 5 over 6 end style end exponent cross times 12 to the power of begin display style 7 over 12 end style end exponent over denominator 6 to the power of begin display style 2 over 3 end style end exponent cross times 2 to the power of negative begin display style 1 fourth end style end exponent end fraction end cell equals cell fraction numerator 3 to the power of 5 over 6 end exponent cross times open parentheses 3 cross times 2 squared close parentheses to the power of 7 over 12 end exponent over denominator open parentheses 2 cross times 3 close parentheses to the power of 2 over 3 end exponent cross times 2 to the power of negative 1 fourth end exponent end fraction end cell row blank equals cell fraction numerator 3 to the power of 5 over 6 end exponent cross times 3 to the power of 7 over 12 end exponent cross times 2 to the power of 7 over 6 end exponent over denominator 2 to the power of 2 over 3 end exponent cross times 3 to the power of 2 over 3 end exponent cross times 2 to the power of negative 1 fourth end exponent end fraction end cell row blank equals cell open parentheses 3 to the power of 5 over 6 end exponent cross times 3 to the power of 7 over 12 end exponent cross times 3 to the power of negative 2 over 3 end exponent close parentheses open parentheses 2 to the power of negative 2 over 3 end exponent cross times 2 to the power of 7 over 6 end exponent cross times 2 to the power of 1 fourth end exponent close parentheses end cell row blank equals cell 3 to the power of 5 over 6 plus 7 over 12 minus 2 over 3 end exponent cross times 2 to the power of negative 2 over 3 plus 7 over 6 plus 1 fourth end exponent end cell row blank equals cell 3 to the power of fraction numerator 10 plus 7 minus 8 over denominator 12 end fraction end exponent cross times 2 to the power of fraction numerator negative 8 plus 14 plus 3 over denominator 12 end fraction end exponent end cell row blank equals cell 3 to the power of 9 over 12 end exponent cross times 2 to the power of 9 over 12 end exponent end cell row blank equals cell open parentheses 3 cross times 2 close parentheses to the power of 9 over 12 end exponent end cell row blank equals cell 6 to the power of 3 over 4 end exponent end cell end table end style$