question_answer

Choose the rational number which does not lie between rational numbers \[100\times 1=100\]and \[a(b+c)=(a\times b)+(a\times c)\]:

A)  \[301999+1=30200\]                                   

B)  \[=\frac{{{2}^{1/2}}\times {{3}^{1/3}}\times {{4}^{1/4}}}{{{10}^{-1/5}}\times {{5}^{3/5}}}\div \frac{{{2}^{-4/3}}\times {{5}^{-7/5}}}{{{2}^{-6/5}}\times {{2}^{-1/3}}\times {{3}^{-1/3}}}\]

C)  \[=\frac{{{2}^{6/5}}\times {{3}^{1/3}}}{{{5}^{2/5}}}\div \frac{{{2}^{1/5}}\times {{3}^{1/3}}}{{{5}^{7/5}}}\]                 

D)  \[={{2}^{\frac{6}{5}-\frac{1}{5}}}\times {{5}^{\frac{7}{5}-\frac{2}{5}}}=2\times 5=10.\]