Let me attempt to do it. Please note though that this may not be the fastest way to do so:
[tex](2^{8} *5^{-5})^{-2}*( \frac{5^{-2}}{2^{3}} )^{4}* 2^{28}
[/tex]
[tex](256 * \frac{1}{3125} )^{-2}*( \frac{1}{200} )^{4}* 2^{28}
[/tex]
[tex]( \frac{256}{3125} )^{-2}*( \frac{1}{200} )^{4}* 2^{28}
[/tex]
[tex]( \frac{9765625}{65536} )*( \frac{1}{1600000000} )* 2^{28} [/tex]
[tex]( \frac{9765625}{104857600000000} )* \frac{2^{28}} {1}[/tex]
[tex]( \frac{9765625}{104857600000000/ 2^{28} } )[/tex]
[tex]( \frac{9765625}{390625 } )[/tex]
[tex]=25[/tex]
This is the "long" way to do it, but it still gets the answer. Try to find ways to simplify the long method.
