Question

$$\left. \begin{array} { l } { \frac { 1 } { 3 } , \frac { 2 } { 5 } , \frac { 4 } { 7 } , \frac { 3 } { 5 } , \frac { 5 } { 6 } , \frac { 6 } { 7 } ( ) } \\ { ( 0.33 , 0.4 , 0.57 , 0.6 , 0.8 \right.$$

Answer

$$a/3,2/5,4/7,3/5,5/6,(1.98*As*e^2*IM*c*n^2*d^2*g*o*r^2,0.4,0.57,0.6,0.83,0.85)/7$$

Solution


Use Product Rule: \({x}^{a}{x}^{b}={x}^{a+b}\).
\[a\times \frac{1}{3},\frac{2}{5},\frac{4}{7},\frac{3}{5},\frac{5}{6},\frac{6}{7}Asc{e}^{2}{n}^{2}{d}^{2}\imath go{r}^{2}(0.33,0.4,0.57,0.6,0.83,0.85)\]
Simplify  \(a\times \frac{1}{3}\)  to  \(\frac{a}{3}\).
\[\frac{a}{3},\frac{2}{5},\frac{4}{7},\frac{3}{5},\frac{5}{6},\frac{6}{7}Asc{e}^{2}{n}^{2}{d}^{2}\imath go{r}^{2}(0.33,0.4,0.57,0.6,0.83,0.85)\]
Use this rule: \(\frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}\).
\[\frac{a}{3},\frac{2}{5},\frac{4}{7},\frac{3}{5},\frac{5}{6},\frac{6Asc{e}^{2}{n}^{2}{d}^{2}\imath go{r}^{2}\times 0.33,0.4,0.57,0.6,0.83,0.85}{7}\]
Simplify  \(6Asc{e}^{2}{n}^{2}{d}^{2}\imath go{r}^{2}\times 0.33\)  to  \((1.98)c{n}^{2}{d}^{2}go{r}^{2}As{e}^{2}\imath \).
\[\frac{a}{3},\frac{2}{5},\frac{4}{7},\frac{3}{5},\frac{5}{6},\frac{1.98c{n}^{2}{d}^{2}go{r}^{2}As{e}^{2}\imath ,0.4,0.57,0.6,0.83,0.85}{7}\]
Regroup terms.
\[\frac{a}{3},\frac{2}{5},\frac{4}{7},\frac{3}{5},\frac{5}{6},\frac{1.98As{e}^{2}\imath c{n}^{2}{d}^{2}go{r}^{2},0.4,0.57,0.6,0.83,0.85}{7}\]