[tex][(m^{2})^{3}*m^{3}]:[(m^{8})^{2}:(m^{2})^{5}]=[m^{6}*m^{3}]:[m^{16}:m^{10}]=m^{9}:m^{6}=m^{3}[/tex]
[tex][(5a^{3}b)^{3}:(-5a^{4}b)^{2}]*[(-10a^{2}b^{2})^{2}:(5ab)^{3}]=(125a^{9}b^{3}:25a^{8}b^{2})*(100a^{4}b^{4}:125a^{3}b^{3})=\frac{125a^{9}b^{3}}{25a^{8}b^{2}}*\frac{100a^{4}b^{4}}{125a^{3}b^{3}}=5ab*\frac{4}{5}ab=4a^{2}b^{2}[/tex]
[tex][(-4c^{2}d^{3})^{4}:(2cd^{2})^{3}]:[(c^{3}d^{2})^{3}:(c^{2}d)^{4}]=(256c^{8}d^{12}:8c^{3}d^{6}):(c^{9}d^{6}:c^{8}d^{4})=\frac{256c^{8}d^{12}}{8c^{3}d^{6}}:\frac{c^{9}d^{6}}{c^{8}d^{4}}=32c^{5}d^{6}:cd^{2}=\frac{32c^{5}d^{6}}{cd^{2}}=32c^{4}d^{4}[/tex]
