Chapter 7 - Exponents and Exponential Functions - 7-4 Division Properties of Exponents - Practice and Problem-Solving Exercises - Page 444: 76

$(2^{8}*3^{6})$.

$=((-4)^{2}/(-3)^{-3})^{2}$ $=((-4)^{2*2}/(-3)^{-3*2})$ (since $(a^{b})^{c}=a^{bc}$) $=((-4)^{4}/(-3)^{-6})$ $=((-4)^{4}*(-3)^{6})$ (since $a^{-1}=1/a$) $=(4^{4}*3^{6})$ $=((2^{2})^{4}*3^{6})$ $=(2^{8}*3^{6})$