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Q. \( \left[\frac{a^{3-7a}\cdot a^{6-2a}}{a^{2a}\cdot a^{9-2a}}\right]^{\frac{1}{9}} \)
✏️ Solution
\( = \left[\frac{a^{(3-7a)+(6-2a)}}{a^{2a+(9-2a)}}\right]^{\frac{1}{9}} \)
\( = \left[\frac{a^{9-9a}}{a^{9}}\right]^{\frac{1}{9}} \)
\( = \left[a^{-9a}\right]^{\frac{1}{9}} \)
\( = a^{-a} \)
\( \boxed{a^{-a}} \)