3. Упростите: 1) (13x⁻⁴ / y⁻⁶) · (y / 52x⁻⁵) 2) (21a⁻⁴ / 100b⁶) · (5b⁻⁶ / 7a⁻¹¹)

3. Упростите:

1. \( \frac{13x^{-4}}{y^{-6}} \cdot \frac{y}{52x^{-5}} = \frac{13x^{-4} y}{y^{-6} 52x^{-5}} = \frac{13}{52} \cdot \frac{x^{-4}}{x^{-5}} \cdot \frac{y}{y^{-6}} = \frac{1}{4} \cdot x^{-4-(-5)} \cdot y^{1-(-6)} = \frac{1}{4} x^1 y^7 = \frac{xy^7}{4} \)
2. \( \frac{21a^{-4}}{100b^6} \cdot \frac{5b^{-6}}{7a^{-11}} = \frac{21 \cdot 5}{100 \cdot 7} \cdot \frac{a^{-4}}{a^{-11}} \cdot \frac{b^{-6}}{b^6} = \frac{105}{700} \cdot a^{-4-(-11)} \cdot b^{-6-6} = \frac{3}{20} \cdot a^7 \cdot b^{-12} = \frac{3a^7}{20b^{12}} \)