Question

Simplify(64/125)∧-2/3  +1/(256/625)∧1/4  +√253/ 3√64

Answer 1

[tex] \frac{64}{125} ^{ \frac{-2}{3} } + \frac{1}{ \frac{256}{625} } ^{ \frac{1}{4} }+ \frac{ \sqrt{253} }{3 \sqrt{64} } \\ \frac{125}{64} ^{ \frac{2}{3} } + \frac{625}{256} ^{ \frac{1}{4} }+ \frac{ \sqrt{253} }{(3)(8)} \\ \frac{ 5^{3} }{ 4^{3} } ^{ \frac{2}{3} } + \frac{ 5^{4} }{ 4^{4} } ^{ \frac{1}{4} } + \frac{ \sqrt{253} }{24} \\ \frac{5}{4} ^{(3)( \frac{2}{3}) } + \frac{5}{4} ^{(4)( \frac{1}{4}) }+ \frac{ \sqrt{253} }{4} } \\ \frac{25}{16}+ \frac{5+ \sqrt{253} }{4} [/tex]
[tex] \frac{25+4(5+ \sqrt{253}) }{16} \\ \frac{25+20+4 \sqrt{253} }{16} \\ \frac{45+4 \sqrt{253} }{16} [/tex]