номер 155 гдз 8 класс алгебра Муравин Муравин

1)\begin{equation}2^{-3}-3^{-2} \end{equation} \begin{equation}\frac{1}{2^{3}}-\frac{1}{3^{2}}=\frac{1}{8}-\frac{1}{9}= \end{equation} \begin{equation}=\frac{9-8}{72}=\frac{1}{72} \end{equation}
2)\begin{equation}4^{-2}-3^{-3} \end{equation} \begin{equation}\frac{1}{4^{2}}-\frac{1}{3^{3}}=\frac{1}{16}-\frac{1}{27}= \end{equation} \begin{equation}=\frac{27-16}{432}=\frac{11}{432} \end{equation}
3)\begin{equation}2^{0}-2^{-2}+2^{-1} \end{equation} \begin{equation}1-\frac{1}{2^{2}}+\frac{1}{2}=1-\frac{1}{4}+\frac{1}{2}= \end{equation} \begin{equation}=1-0,25+0,5=1,25 \end{equation}
4)\begin{equation}5^{0}-5^{-1}+5^{-2} \end{equation} \begin{equation}1-\frac{1}{5}+\frac{1}{5^{2}}=1-0,2+0,04=0,84 \end{equation}
5)\begin{equation}16\cdot 2^{-5}=16\cdot \frac{1}{2^{5}}=16\cdot \frac{1}{32}=\frac{1}{2} \end{equation}
6)\begin{equation}9\cdot 3^{-3}=9\cdot \frac{1}{3^{3}}=9\cdot \frac{1}{27}=\frac{1}{3} \end{equation}
7)\begin{equation}0,4^{-3}\cdot 0,7^{0} \end{equation} \begin{equation}\frac{1}{0,4^{3}}\cdot 1=\frac{1}{0,064}=15,625 \end{equation}
8)\begin{equation}0,5^{-4}\cdot 1,5^{0} \end{equation} \begin{equation}\frac{1}{0,5^{4}}\cdot 1=\frac{1}{0,0625}=16 \end{equation}
9)\begin{equation}7^{-5}\cdot 7^{5}=7^{-5+5}=7^{0}=1 \end{equation}
Play
Play
previous arrow
next arrow
Slider