![2)\; \; a^{\frac{1}{3}}\cdot \sqrt{a}=a^{\frac{1}{3}}\cdot a^{\frac{1}{2}}=a^{\frac{1}{3}+\frac{1}{2}}=a^{\frac{5}{6}}\\\\a^{\frac{4}{3}}:\sqrt[3]{a}=a^{\frac{4}{3}}:a^{\frac{1}{3}}=a^{\frac{4}{3}-\frac{1}{3}}=a^{\frac{3}{3}}=a](https://tex.z-dn.net/?f=2%29%5C%3B%20%5C%3B%20a%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5Ccdot%20%5Csqrt%7Ba%7D%3Da%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%5Ccdot%20a%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%3Da%5E%7B%5Cfrac%7B1%7D%7B3%7D%2B%5Cfrac%7B1%7D%7B2%7D%7D%3Da%5E%7B%5Cfrac%7B5%7D%7B6%7D%7D%5C%5C%5C%5Ca%5E%7B%5Cfrac%7B4%7D%7B3%7D%7D%3A%5Csqrt%5B3%5D%7Ba%7D%3Da%5E%7B%5Cfrac%7B4%7D%7B3%7D%7D%3Aa%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D%3Da%5E%7B%5Cfrac%7B4%7D%7B3%7D-%5Cfrac%7B1%7D%7B3%7D%7D%3Da%5E%7B%5Cfrac%7B3%7D%7B3%7D%7D%3Da "2)\; \; a^{\frac{1}{3}}\cdot \sqrt{a}=a^{\frac{1}{3}}\cdot a^{\frac{1}{2}}=a^{\frac{1}{3}+\frac{1}{2}}=a^{\frac{5}{6}}\\\\a^{\frac{4}{3}}:\sqrt[3]{a}=a^{\frac{4}{3}}:a^{\frac{1}{3}}=a^{\frac{4}{3}-\frac{1}{3}}=a^{\frac{3}{3}}=a")
1\; \; \Rightarrow \; \; y=2^{x}\; -\; vozrastaet\; i\; \; \sqrt3\approx 1,732>1,7\; \; \Rightarrow \\\\2^{\sqrt3}>2^{1,7}\\\\b)\; \; \Big (\frac{1}{2}\Big )^{\sqrt3}\; \vee\; \Big (\frac{1}{2}\Big )^{1,7}\; \; ,\\\\a=\frac{1}{2}<1\; ,\; y=\Big (\frac{1}{2}\Big )^{x}\; -\; ybuvaet\; i\; \; \sqrt3>1,7\; \; \Rightarrow \; \; \Big (\frac{1}{2}\Big )^{\sqrt3}<\Big (\frac{1}{2}\Big )^{1,7}" alt="4)\; \; a)\; 2^{\sqrt3}\; \vee \; 2^{1,7}\; ,\\\\a=2>1\; \; \Rightarrow \; \; y=2^{x}\; -\; vozrastaet\; i\; \; \sqrt3\approx 1,732>1,7\; \; \Rightarrow \\\\2^{\sqrt3}>2^{1,7}\\\\b)\; \; \Big (\frac{1}{2}\Big )^{\sqrt3}\; \vee\; \Big (\frac{1}{2}\Big )^{1,7}\; \; ,\\\\a=\frac{1}{2}<1\; ,\; y=\Big (\frac{1}{2}\Big )^{x}\; -\; ybuvaet\; i\; \; \sqrt3>1,7\; \; \Rightarrow \; \; \Big (\frac{1}{2}\Big )^{\sqrt3}<\Big (\frac{1}{2}\Big )^{1,7}" align="absmiddle" class="latex-formula">
\frac{6}{11}\approx 0,545\; \; \Rightarrow \\\\0,88^{\frac{1}{6}}>\Big (\frac{6}{11}\Big )^{\frac{1}{6}}\\\\d)\; \; \Big (\frac{1}{12}\Big )^{-\frac{1}{4}}\; \vee\; (0,41)^{-\frac{1}{4}}=\Big (\frac{41}{100}\Big )^{-\frac{1}{4}}\; \; \Rightarrow \; \; \Big (12\Big )^{\frac{1}{4}}\; \vee\; \Big (\frac{100}{41}\Big )^{\frac{1}{4}}\\\\y=x^{\frac{1}{4}}=\sqrt[4]{x}\; -\; vozrastaet\; \; i\; \; 12>\frac{100}{41}\approx 2,44\; \; \Rightarrow " alt="c)\; \; 0,88^{\frac{1}{6}}\; \vee\; \Big (\frac{6}{11}\Big )^{\frac{1}{6}}\\\\y=x^{\frac{1}{6}}=\sqrt[6]{x}\; -\; vozrastaet\; \; i\; \; 0,88>\frac{6}{11}\approx 0,545\; \; \Rightarrow \\\\0,88^{\frac{1}{6}}>\Big (\frac{6}{11}\Big )^{\frac{1}{6}}\\\\d)\; \; \Big (\frac{1}{12}\Big )^{-\frac{1}{4}}\; \vee\; (0,41)^{-\frac{1}{4}}=\Big (\frac{41}{100}\Big )^{-\frac{1}{4}}\; \; \Rightarrow \; \; \Big (12\Big )^{\frac{1}{4}}\; \vee\; \Big (\frac{100}{41}\Big )^{\frac{1}{4}}\\\\y=x^{\frac{1}{4}}=\sqrt[4]{x}\; -\; vozrastaet\; \; i\; \; 12>\frac{100}{41}\approx 2,44\; \; \Rightarrow " align="absmiddle" class="latex-formula">
\Big (\frac{100}{41}\Big )^{\frac{1}{4}}\; \; \Rightarrow \; \; \; \Big (\frac{1}{12}\Big )^{-\frac{1}{4}}>(0,41)^{-\frac{1}{4}}" alt="\Big (12\Big )^{\frac{1}{4}}>\Big (\frac{100}{41}\Big )^{\frac{1}{4}}\; \; \Rightarrow \; \; \; \Big (\frac{1}{12}\Big )^{-\frac{1}{4}}>(0,41)^{-\frac{1}{4}}" align="absmiddle" class="latex-formula">