\[\begin{array}{l}
{144^{\frac{9}{4}}}:{9^{\frac{3}{4}}}\\
= {\left( {{3^2}{{.4}^2}} \right)^{\frac{9}{4}}}:{\left( {{3^2}} \right)^{\frac{3}{4}}}\\
= {3^{\frac{9}{2}}}{.4^{\frac{9}{2}}}:{3^{\frac{3}{2}}}\\
= {3^{\frac{9}{2} - \frac{3}{2}}}{.4^{\frac{9}{2}}}\\
= {3^3}.{\left( {{2^2}} \right)^{\frac{9}{2}}}\\
= {3^3}{.2^9}\\
= 27.512\\
= 13824\\
C = {\left( {\frac{1}{{16}}} \right)^{0,75}} + {\left( {0,25} \right)^{\frac{{ - 5}}{2}}}\\
= {\left[ {{{\left( {\frac{1}{2}} \right)}^4}} \right]^{0,75}} + {\left[ {{{\left( {\frac{1}{2}} \right)}^2}} \right]^{\frac{{ - 5}}{2}}}\\
= {\left( {\frac{1}{2}} \right)^3} + {\left( {\frac{1}{2}} \right)^{ - 5}}\\
= \frac{1}{8} + 32\\
= \frac{{257}}{8}\\
D = {\left( {0,04} \right)^{ - 1,5}} - {\left( {0,125} \right)^{\frac{{ - 2}}{3}}}\\
= {\left( {\frac{1}{{25}}} \right)^{\frac{{ - 3}}{2}}} - {\left( {\frac{1}{8}} \right)^{\frac{{ - 2}}{3}}}\\
= {\left[ {{{\left( {\frac{1}{5}} \right)}^2}} \right]^{\frac{{ - 3}}{2}}} - {\left[ {{{\left( {\frac{1}{2}} \right)}^3}} \right]^{\frac{{ - 2}}{3}}}\\
= {\left( {\frac{1}{5}} \right)^{ - 3}} - {\left( {\frac{1}{2}} \right)^{ - 2}}\\
= 125 - 4\\
= 121
\end{array}\]