Solve (-a^2)^5=(-a^-6)^4

$$( - a ^ { 2 } ) ^ { 5 } = ( - a ^ { - 6 } ) ^ { 4 }$$

Solve for a

$$a\in e^{\frac{3\pi i}{34}},e^{\frac{37\pi i}{34}},e^{\frac{35\pi i}{34}},e^{\frac{\pi i}{34}},e^{\frac{39\pi i}{34}},e^{\frac{5\pi i}{34}},e^{\frac{41\pi i}{34}},e^{\frac{7\pi i}{34}},e^{\frac{43\pi i}{34}},e^{\frac{9\pi i}{34}},e^{\frac{45\pi i}{34}},e^{\frac{11\pi i}{34}},e^{\frac{47\pi i}{34}},e^{\frac{13\pi i}{34}},e^{\frac{49\pi i}{34}},e^{\frac{15\pi i}{34}},-i,i,e^{\frac{53\pi i}{34}},e^{\frac{19\pi i}{34}},e^{\frac{55\pi i}{34}},e^{\frac{21\pi i}{34}},e^{\frac{57\pi i}{34}},e^{\frac{23\pi i}{34}},e^{\frac{59\pi i}{34}},e^{\frac{25\pi i}{34}},e^{\frac{27\pi i}{34}},e^{\frac{61\pi i}{34}},e^{\frac{29\pi i}{34}},e^{\frac{63\pi i}{34}},e^{\frac{31\pi i}{34}},e^{\frac{65\pi i}{34}},e^{\frac{33\pi i}{34}},e^{\frac{67\pi i}{34}}$$