Question # find the value of

# find the value of

( frac{4}{216}-frac{2}{3}+frac{1}{(256)^{-3} / 4}+frac{2}{(243)^{-1} 5} )

Solution

( 4 times(216)^{2 / 3}+(256)^{3 / 4}+2 times(243)^{1 / 5} )

( 4 times 6^{3 times frac{2}{3}}+4^{2 times 3} times 2 times 3^{8 times frac{1}{8}} )

( 4 times 6^{2}+4^{3}+2 times 3^{1})

( 4 times 36+64+6 )

( 144+64+6=214 )