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\(a,9.3^3.\frac{1}{81}.3^2=3^2.3^3.3^{\left(-4\right)}.3^2=3^{2+3-4+2}=3^3.\)
\(b,4.2^5:\left(2^3.\frac{1}{16}\right)=2^2.2^5:\left(2^3.2^{-4}\right)=2^{2+5}:2^{3-4}=2^7:2^{-1}=2^{7-\left(-1\right)}=2^8.\)
\(c,3^2.2^5.\left(\frac{2}{3}\right)^2=3^2.2^5.\frac{2^2}{3^2}=\left(\frac{3^2}{3^2}\right).\left(2^5.2^2\right)=1.2^{5+2}=2^7\)
\(d,\left(\frac{1}{3}\right)^2.\frac{1}{3}.9^2=\left(\frac{1}{3}\right)^2.\frac{1}{3}.\left(3^2\right)^2=\left(\frac{1}{3}\right)^{2+1}.3^4=\left(\frac{1}{3}\right)^3.\left(\frac{1}{3}\right)^{-4}=\left(\frac{1}{3}\right)^{3-4}=\left(\frac{1}{3}\right)^{-1}=3^1\)
\(B=\left(-13\cdot\frac{2}{5}+\frac{-2}{9}\div2\frac{1}{2}+\frac{2}{5}\cdot\frac{11}{9}\right)\cdot2\frac{1}{2}\)
\(B=\left(13\cdot\frac{2}{5}+\frac{-2}{9}\cdot\frac{2}{5}+\frac{2}{5}\cdot\frac{11}{9}\right)\cdot\frac{5}{2}\)
\(B=\left[\frac{2}{5}\cdot\left(-13+\frac{-2}{9}+\frac{11}{9}\right)\right]\cdot\frac{5}{2}\)
\(B=\left[\frac{2}{5}\cdot\left(-12\right)\right]\cdot\frac{5}{2}\)
\(B=\frac{-24}{5}\cdot\frac{5}{2}=-12\)