[tex]a)\\(3ab^2)^3=3^3*a^3*(b^2)^3=27a^3b^6[/tex]
[tex]b) \\(\frac12a^2b^3)^4=(\frac12)^4*(a^2)^4*(b^3)^4=\frac1{16}a^8b^{12}=\frac{a^8b^{12}}{16}[/tex]
[tex]c) \\(\frac{2ab^5}{c^2})^2=\frac{2^2*a^2*(b^5)^2}{(c^2)^2}=\frac{4a^2b^{10}}{c^4}[/tex]
[tex]d) \\(\frac{a^5b^6}{3x^2})^5=\frac{(a^5)^5*(b^6)^5}{3^5*(x^2)^5}=\frac{a^{25}b^{30}}{243x^{10}}[/tex]
