1.
a) 4¹¹ * 4⁻⁹ =4² =16
б) 6⁻⁵ : 6⁻³ =6⁻⁵⁻⁽⁻³⁾ =6⁻⁵⁺³ = 6⁻² = 1/6²= 1/36
в) (2⁻²)³= 2⁻⁶= 1/2⁶ = 1/64
2.
a) (x⁻³)⁴ * x¹⁴ =x⁻¹² * x¹⁴ =x²
б) 1.5a²b⁻³ * 4a⁻³b⁴=6a⁻¹b
3.
a) (¹/₃ x⁻¹y²)⁻² = (¹/₃)⁻² * (x⁻¹)⁻² * (y²)⁻²=9x²y⁻⁴ = (9x²)/y⁴
б) (3x⁻¹/4y⁻³)⁻¹ * 6xy² = (3y³/4x)⁻¹ * 6xy²=(4x/3y³) * 6xy²=(8x²)/y
4.
(3⁻⁹ * 9⁻⁴)/27⁻⁶ = (3⁻⁹ * 3⁻⁸)/(3³)⁻⁶ =3⁻¹⁷/3⁻¹⁸ = 3⁻¹⁷⁺¹⁸=3
5.
(4.6*10⁴) * (2.5*10⁻⁶)=11.5*10⁻² = 1.15*10⁻¹
6.
(a⁻¹ + b⁻¹)(a+b)⁻¹ = (¹/ₐ + 1/b) * 1/(a+b) = 1/(ab)