${({x^5})^{1/3}}{(16{x^3})^{2/3}}$${\left( {{1 \over 4}{x^{4/9}}} \right)^{ - 3/2}} = $
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d
(d) \({({x^5})^{1/3}}{(16{x^3})^{2/3}}{\left( {{1 \over 4}{x^{4/9}}} \right)^{ - 3/2}}{x^{{5 \over 3} + 3\,.\,{2 \over 3}\, - \,{4 \over 9}.{3 \over 2}}}{2^{{2 \over 3}\,.\,4 + 3}} \)
(d) \({({x^5})^{1/3}}{(16{x^3})^{2/3}}{\left( {{1 \over 4}{x^{4/9}}} \right)^{ - 3/2}}{x^{{5 \over 3} + 3\,.\,{2 \over 3}\, - \,{4 \over 9}.{3 \over 2}}}{2^{{2 \over 3}\,.\,4 + 3}} \)
\(= {2^{{{17} \over 3}}}{x^3}\).
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