Question

Помогите пожалуйста !!!

Answer 1

1) (2³)⁻² * (2⁻²)⁻² : 2⁻² = 2⁻⁶ * 2⁴ : 2⁻² = 2⁻⁶⁺⁴⁻⁽⁻²⁾ = 2⁻⁶⁺⁴⁺² = 2⁰ = 1

2a) (3a⁻²b³)⁻² : (a³b⁻¹)² = 1/9a⁴b⁻⁶ : a⁶b⁻² = 1/9a⁴⁻⁶b⁻⁶⁻⁽⁻²⁾ = 1/9a⁻²b⁻⁴

б)

$\frac{6^{n+3} -6^{n+1} }{35}=\frac{6^{n+1}(6^{2}-1)}{35}=\frac{6^{n+1}*35 }{35}=6^{n+1}\\\\\frac{x^{6}+x^{10}}{x^{-2}+x^{2}}=\frac{x^{6}(1+x^{4})}{x^{-2}(1+x^{4})}=\frac{x^{6} }{x^{-2} }=x^{6-(-2)}=x^{8}$