1. Выполните действия: a) x² * x⁹ б) x¹¹ : x⁵ в) x¹⁰ : x¹⁰ г) (x⁸)⁵ д) (x⁴)⁶ * x³ e) x¹³ * x / x¹⁰ ж) x⁸ * (x²)³ з) (2x)⁶ и) (3ab⁵)⁴ к) (a/4)³ л) (4a³/3b⁷)³

a) \(x^2 \cdot x^9 = x^{2+9} = x^{11}\) б) \(x^{11} : x^5 = x^{11-5} = x^6\) в) \(x^{10} : x^{10} = x^{10-10} = x^0 = 1\) г) \((x^8)^5 = x^{8 \cdot 5} = x^{40}\) д) \((x^4)^6 \cdot x^3 = x^{4 \cdot 6} \cdot x^3 = x^{24} \cdot x^3 = x^{24+3} = x^{27}\) e) \(\frac{x^{13} \cdot x}{x^{10}} = \frac{x^{13+1}}{x^{10}} = \frac{x^{14}}{x^{10}} = x^{14-10} = x^4\) ж) \(x^8 \cdot (x^2)^3 = x^8 \cdot x^{2 \cdot 3} = x^8 \cdot x^6 = x^{8+6} = x^{14}\) з) \((2x)^6 = 2^6 \cdot x^6 = 64x^6\) и) \((3ab^5)^4 = 3^4 \cdot a^4 \cdot (b^5)^4 = 81a^4b^{5 \cdot 4} = 81a^4b^{20}\) к) \((\frac{a}{4})^3 = \frac{a^3}{4^3} = \frac{a^3}{64}\) л) \((\frac{4a^3}{3b^7})^3 = \frac{(4a^3)^3}{(3b^7)^3} = \frac{4^3 \cdot (a^3)^3}{3^3 \cdot (b^7)^3} = \frac{64a^9}{27b^{21}}\