2.) ((a^-7b^-6)/(a^-1)b^(15))^(-1)/(3)

To simplify the expression \((\frac {a^{-7}b^{-6}}{a^{-1}b^{15}})^{\frac {-1}{3}}\), we can follow these steps:<br /><br />1. Simplify the fraction inside the parentheses:<br />\[<br />\frac {a^{-7}b^{-6}}{a^{-1}b^{15}} = a^{-7 - (-1)}b^{-6 - 15} = a^{-6}b^{-21}<br />\]<br /><br />2. Apply the exponent \(-\frac{1}{3}\) to the simplified fraction:<br />\[<br />(a^{-6}b^{-21})^{-\frac{1}{3}} = a^{-6 \cdot -\frac{1}{3}}b^{-21 \cdot -\frac{1}{3}} = a^{2}b^{7}<br />\]<br /><br />Therefore, the simplified expression is \(a^{2}b^{7}\).