Answer:
Step-by-step explanation:
1) multiply the powers. [tex](a^{m})^{n}= a^{mn}\\[/tex]
a) [tex](3^{2})^{2} = 3^{2*2} = 3^{4}\\[/tex]
[tex]b) (g^{6})^{3} = g^{6*3} = g^{18}\\\\\\c) (y^{-6})^{3} = g^{-6*3} = g^{-18}\\\\\\d) (4^{-2})^{-8} = 4^{-2*-8} = 4^{16}\\\\[/tex]
[tex]7) (a^{3}b^{7}cd^{2})^{4} =(a^{3})^{4} * (b^{7})^{4}* c^{4} * (d^{2})^{4}\\\\=a^{12}b^{28}c^{4}d^{8}\\\\\\8) (8g^{3})^{2}=8^{2}*(g^{3})^{2} = 64g^{6}\\\\\\9) (4k)^{3}=4^{3}k^{3} = 64k^{3}\\\\\\10) (7m^{4}y^{3})^{2} = 7^{2}(m^{4})^{2}(y^{3})^{2} = 49m^{8}y^{6}\\\\\\11) (8^{5})^{-2}=8^{5*-2}=8^{-10}\\\\\\13) m^{0} = 1 \\\\\\14) x^{1}=x \\\\\\15) p^{-3} * p^{2} = p^{-3+2} = p^{-1}\\\\\\16) \frac{c^{31}}{c^{28}} = c^{31-28} = c^{3} \\\\[/tex]
