`e, [(-2,7)^{4}]^{5} - [(-2,7)^{2}]^{10}`
`= [(2,7)^{4}]^{5} - [(2,7)^{2}]^{10}`
`= (2,7)^{20} - (2,7)^{20}`
`= 0`
______________________
`f, (8^{14} : 4^{12}) : (16^{6} : 8^{2})`
`= {8^{14} : 4^{12}}/{16^{6} : 8^{2}}`
`= {(2^{3})^{14} : (2^{2})^{12}}/{(2^{4})^{6} : (2^{3})^{2}}`
`= {2^{42} : 2^{24}}/{2^{24} : 2^{6}}`
`= 2^{18}/2^{18}`
`= 2^{0}`
`= 1`