$${\mathtt{z}}{\mathtt{\,-\,}}{\frac{{\mathtt{8}}}{{\mathtt{z}}}}{\mathtt{\,-\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{z}}{\mathtt{\,-\,}}{\frac{{\mathtt{38}}}{{\mathtt{11}}}}{\mathtt{\,\times\,}}{\mathtt{z}}$$
PEMDAS
No P
No E
M and D are present
1z - 8/z - 5z - 38/11 * 1z
z(1z - 8/z - 5z - 38/11 * 1z)
1z^2 - 8z/z - 5z^2 - 38z/11 * 1z^2
1z^2 - 8 - 5z^2 - (38z*1z^2)/11
1z^2 - 8 - 5z^2 - (1z^2*38z)/11
$${\mathtt{1}}{\mathtt{\,\times\,}}{{\mathtt{z}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{8}}{\mathtt{\,-\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{{\mathtt{z}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\frac{\left({\mathtt{1}}{\mathtt{\,\times\,}}{{\mathtt{z}}}^{{\mathtt{2}}}{\mathtt{\,\times\,}}{\mathtt{38}}{\mathtt{\,\times\,}}{\mathtt{z}}\right)}{{\mathtt{11}}}}$$
11(1z^2 - 8 - 5z^2 - (1z^2*38z)/11)
11z^2 - 88 - 55z^2 - 11z^2 * 418z
(11z^2 - 88 - 55z^2 - 11z^2)/418z
$${\frac{\left({\mathtt{11}}{\mathtt{\,\times\,}}{{\mathtt{z}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{88}}{\mathtt{\,-\,}}{\mathtt{55}}{\mathtt{\,\times\,}}{{\mathtt{z}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{11}}{\mathtt{\,\times\,}}{{\mathtt{z}}}^{{\mathtt{2}}}\right)}{\left({\mathtt{418}}{\mathtt{\,\times\,}}{\mathtt{z}}\right)}}$$
(1z/38) - (8/38) - (5z/38) - (1z/38)
(1z/38) - (5z/38) - (1z/38) - (8/38)
- (5z/38) - (8/38)
- (5z) - (8)
$${\mathtt{\,-\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{z}}{\mathtt{\,-\,}}{\mathtt{8}}$$
I have no clue if this is correct. If it isn't, could somebody point me where I went wrong?