`a)(1/2)^4-(\frac{-2}{3})^3+(13/8)^0`
`=1/16+8/27+1`
`=587/432`
`b)(\frac{-1}{4})^2 . \frac{-2}{3}+5/3 . 1/16`
`=1/16 . (-2/3)+5/3 . 1/16`
`=1/16 .(-2/3+5/3)`
`=1/16 . 1`
`=1/16`
`c)(2/5-3/2)^2:(\frac{-11}{50}-|1/6|)`
`=(-11/10)^2 .(-50/11)-1/6`
`=121/100 . (-50/11)-1/6`
`=-11/12-1/6`
`=-17/3`
`d)\frac{2^14 .(-9)^2}{6^7 .(-8)^2}`
`=\frac{16384.81}{279936.64}`
`=1327104/17915904`
`=2/27`