Решебник по алгебре и начала математического анализа 10 класс Колягин Задание 555

$$\boxed{{\displaystyle \mathbf{555}.}}$$

$$1)(0,35{)}^8<(-5,4{)}^8$$

$$2){(-\frac{11}{17})}^5<{(-\frac{6}{13})}^5$$

$$-\frac{11}{17}=-\frac{143}{221}<-\frac{6}{13}=-\frac{102}{221}$$

$$3){(1-\sqrt{5})}^7<{(\sqrt{3}-1)}^7$$

$$\sqrt{5}>1\to 1-\sqrt{5}<0;$$

$$\sqrt{3}>1\to \sqrt{3}-1>0.$$

$$4){(\sqrt{3}+10)}^{10}<{(\sqrt{2}+2)}^{10}$$

$$\sqrt{3}<\sqrt{4}\to \sqrt{3}+1<2+1=3;$$

$$\sqrt{2}>\sqrt{1}\to \sqrt{2}+2>1+2=3.$$