Question

решите уравнение плииз!

(а⁵)¹² × (а⁸)⁷
--------------------=256
(а¹⁶)⁸ : (а²)¹⁰​

Answer 1

$\frac{(a^{5})^{12}*(a^{8})^{7}}{(a^{16})^{8}:(a^{2})^{10}}=256\\\\\frac{a^{60}*a^{56}}{a^{128}:a^{20}}=256\\\\\frac{a^{60+56}}{a^{128-20}}=256\\\\\frac{a^{116}}{a^{108}}=256\\\\a^{116-108}=256\\\\a^{8}=256\\\\a^{8}=2^{8}\\\\a_{1}=2\\\\a_{2}=-2\\\\Otvet:\boxed{-2;2}$