Dik. a = 81 , b = 27/125 , c = 1/64.

nilai a
[tex] {(81)}^{ \frac{1}{4} } = {( {3}^{4} )}^{ \frac{1}{4} } = 3[/tex]

nilai b

[tex] {( \frac{1}{64}) }^{ \frac{5}{6} } = {( \frac{1}{ {2}^{6} }) }^{ \frac{5}{6} } = { {(2}^{ - 6} )}^{ \frac{5}{6} } = {2}^{ - 5} [/tex]

nilai c
[tex] {( \frac{27}{125} )}^{ \frac{ - 1}{3} } = {( \frac{ {3}^{3} }{ {5}^{3} } )}^{ \frac{ - 1}{3} } = \frac{ {3}^{ - 1} }{ {5}^{ - 1} } [/tex]


maka
[tex] \frac{3 + \frac{1}{ {2}^{5} } }{ \frac{5}{3} } \\ = \frac{3 + \frac{1}{32} }{ \frac{5}{3} } \\ = \frac{ \frac{96 + 1}{32} }{ \frac{5}{3} } \\ = \frac{97}{32} \times \frac{3}{5} = \frac{291}{160} [/tex]

maaf kalo salah..