\( i_m = { \begin{pmatrix} { \large100000 \over 750000} \end{pmatrix}}^{ \large 30 \over 200} -1 \)

\( i_m = { \begin{pmatrix} { \large100000 \over 750000} \end{pmatrix}}^{ \large 200 \over 30} -1 \)

\( i_m = { \begin{pmatrix} { \large 750000 \over 100000} \end{pmatrix}}^{ \large 30 \over 200} -1 \)

\( i_m = { \begin{pmatrix} { \large 750000 \over 100000} \end{pmatrix}}^{ \large 200 \over 30} -1 \)

\( i_m = { \begin{pmatrix} { \large 750000 \over 100000} \end{pmatrix}}^{30} -1 \)