1. [tex](-m^{4})^3 = -m^{12}[/tex]
2. [tex][\frac{10c^{2} }{2d^{3} }] ^{2} = \frac{100c^{4} }{4d^{6} } = \frac{25c^{4} }{d^{6} }[/tex]
3. [tex](3a^{2}bc^{3} )^{3} = 9a^{6} b^{3} c^{9}[/tex]
4. [tex](2x^{3} y^{2} z)(3x^{2} yz^{2} ) = 6x^{5} y^{3} z^{3}[/tex]
5. [tex][\frac{3m^{2}n^{3} }{xy^{2} }] ^{2} [\frac{x^{3}yz^{2} }{2mn^{2} }] ^{3} = [\frac{9m^{4} n^{6} }{x^{2}y^{4} }] [\frac{x^{9}y^{3} z^{6} }{8m^{3} n^{6} }] = \frac{9mx^{7} z^{6} }{8y}[/tex]
