热门分类
数据结构
网络
关系数据库管理系统 (RDBMS)
操作系统
Java
MS Excel
iOS
HTML
CSS
Android
Python
C语言编程
C++
C#
MongoDB
MySQL
Javascript
PHP
物理
化学
生物
数学
英语
经济学
心理学
社会学
服装设计
法学

$$3\frac{1}{3} \ -\ \frac{2}{3}\left\{\frac{3}{10} \ +\ \frac{1}{2}\left( 3\ -\ \frac{3}{5}\right)\right\}$$

$\begin{array}{l}
3\frac{1}{3} \ -\ \frac{2}{3}\left\{\frac{3}{10} \ +\ \frac{1}{2}\left( 3\ -\ \frac{3}{5}\right)\right\}\\
\\
\\
=\ 3\frac{1}{3} \ -\ \frac{2}{3}\left\{\frac{3}{10} \ +\ \frac{1}{2}\left(\frac{15\ -\ 3}{5}\right)\right\}\\
\\
\\
=\ \frac{10}{3} \ -\ \frac{2}{3}\left\{\frac{3}{10} \ +\ \frac{1}{2}\left(\frac{12}{5}\right)\right\}\\
\\
\\
=\ \frac{10}{3} \ -\ \frac{2}{3}\left\{\frac{3}{10} \ +\ \frac{6}{5}\right\}\\
\\
\\
=\ \frac{10}{3} \ -\ \frac{2}{3}\left\{\frac{3\ +\ 12}{10}\right\}\\
\\
\\
=\ \frac{10}{3} \ -\ \frac{2}{3}\left\{\frac{15}{10}\right\}\\
\\
\\
=\ \frac{10}{3} \ -\ \frac{5}{5}\\
\\
\\
=\ \frac{10}{3} \ -\ 1\\
\\
\\
=\ \frac{10\ -\ 3}{3}\\
\\
\\
=\ \mathbf{\frac{7}{3}}
\end{array}$

Tutorialspoint 教程点

更新于：2022年10月10日

60 次浏览

相关文章
计算：$ \left(\frac{1}{2}\right)^{3}+\left(\frac{1}{3}\right)^{3}-\left(\frac{5}{6}\right)^{3} $
化简：$ \left[\left(\frac{1}{3}\right)^{-1}-\left(\frac{2}{5}\right)^{-1}\right]^{-2} \div\left(\frac{3}{4}\right)^{-3} $
化简：(i) $ \left(3^{2}+2^{2}\right) \times\left(\frac{1}{2}\right)^{3} $(ii) $ \left(3^{2}-2^{2}\right) \times\left(\frac{2}{3}\right)^{-3} $(iii) $ \left[\left(\frac{1}{3}\right)^{-3}-\left(\frac{1}{2}\right)^{-3}\right] \div\left(\frac{1}{4}\right)^{-3} $(iv) $ \left(2^{2}+3^{2}-4^{2}\right) \div\left(\frac{3}{2}\right)^{2} $
证明：$ \frac{(0.6)^{0}-(0.1)^{-1}}{\left(\frac{3}{8}\right)^{-1}\left(\frac{3}{2}\right)^{3}+\left(-\frac{1}{3}\right)^{-1}}=-\frac{3}{2} $
化简：(i) $ \left\{\left(\frac{1}{3}\right)^{-3}-\left(\frac{1}{2}\right)^{-3}\right\} \div\left(\frac{1}{4}\right)^{-3} $(ii) $ \left(3^{2}-2^{2}\right) \times\left(\frac{2}{3}\right)^{-3} $(iii) $ \left\{\left(\frac{1}{2}\right)^{-1} \times(-4)^{-1}\right\}^{-1} $(iv) $ \left[\left\{\left(\frac{-1}{4}\right)^{2}\right\}^{-2}\right]^{-1} $(v) $ \left\{\left(\frac{2}{3}\right)^{2}\right\}^{3} \times\left(\frac{1}{3}\right)^{-4} \times 3^{-1} \times 6^{-1} $
求x的值，如果(i) $ \left(\frac{1}{4}\right)^{-4} \times\left(\frac{1}{4}\right)^{-8}=\left(\frac{1}{4}\right)^{-4 x} $(ii) $ \left(\frac{-1}{2}\right)^{-19}\div\left(\frac{-1}{2}\right)^{8}=\left(\frac{-1}{2}\right)^{-2 x+1} $(iii) $ \left(\frac{3}{2}\right)^{-3} \times\left(\frac{3}{2}\right)^{5}=\left(\frac{3}{2}\right)^{2 x+1} $(iv) $ \left(\frac{2}{5}\right)^{-3} \times\left(\frac{2}{5}\right)^{15}=\left(\frac{2}{5}\right)^{2+3 x} $(v) $ \left(\frac{5}{4}\right)^{-x}\div\left(\frac{5}{4}\right)^{-4}=\left(\frac{5}{4}\right)^{5} $(vi) $ \left(\frac{8}{3}\right)^{2 x+1} \times\left(\frac{8}{3}\right)^{5}=\left(\frac{8}{3}\right)^{x+2} $
计算:$\left(-\frac{1}{3}\ \times\ \frac{2}{3}\right)\ +\ (5)$
将下列各式写成指数形式：(i) $ \left(\frac{3}{2}\right)^{-1} \times\left(\frac{3}{2}\right)^{-1} \times\left(\frac{3}{2}\right)^{-1} \times\left(\frac{3}{2}\right)^{-1} $(ii) $ \left(\frac{2}{5}\right)^{-2} \times\left(\frac{2}{5}\right)^{-2} \times\left(\frac{2}{5}\right)^{-2} $
化简：(i) $ \left(\frac{3}{2} \times \frac{1}{6}\right)+\left(\frac{5}{3} \times \frac{7}{2}\right)-\left(\frac{13}{8} \times \frac{4}{3}\right) $(ii) $ \left(\frac{1}{4} \times \frac{2}{7}\right)-\left(\frac{5}{14} \times \frac{-2}{3}\right)+\left(\frac{3}{7} \times \frac{9}{2}\right) $(iii) $ \left(\frac{13}{9} \times \frac{-15}{2}\right) \times\left(\frac{7}{3} \times \frac{8}{5}\right)+\left(\frac{3}{5} \times \frac{1}{2}\right) $(iv) $ \left(\frac{3}{11} \times \frac{5}{6}\right)-\left(\frac{9}{12} \times \frac{4}{3}\right)+\left(\frac{5}{13} \times \frac{6}{15}\right) $
计算$ 9 \frac{3}{4} \div\left[2 \frac{1}{6}+\left\{4 \frac{1}{3}-\left(1 \frac{1}{2}+1 \frac{3}{4}\right)\right\}\right]$
计算：$ 4 \frac{1}{10}-\left(2 \frac{1}{2}-\left\{\frac{5}{6}-\left(\frac{2}{5}+\frac{3}{10}-\frac{4}{15}\right)\right\}\right) $
化简：(i) $ \left(\frac{25}{8} \times \frac{2}{5}\right)-\left(\frac{3}{5} \times \frac{-10}{9}\right) $(ii) $ \left(\frac{1}{2} \times \frac{1}{4}\right)+\left(\frac{1}{2} \times 6\right) $(iii) $ \left(-5 \times \frac{2}{15}\right)+\left(-6 \times \frac{2}{9}\right) $(iv) $ \left(\frac{-9}{4} \times \frac{5}{3}\right)+\left(\frac{13}{2} \times \frac{5}{6}\right) $(v) $ \left(\frac{-4}{3} \times \frac{12}{-5}\right)+\left(\frac{3}{7} \times \frac{21}{15}\right) $(vi) $ \left(\frac{13}{5} \times \frac{8}{3}\right)-\left(\frac{-5}{2} \times \frac{11}{3}\right) $(vii) $ \left(\frac{13}{7} \times \frac{11}{26}\right)-\left(\frac{-4}{3} \times \frac{5}{6}\right) $(viii) $ \left(\frac{8}{5} \times \frac{-3}{2}\right)+\left(\frac{-3}{10} \times \frac{11}{16}\right) $
化简下列各式：a) $ (0.3)^{3}+(0.2)^{3} $b) $ \left(\frac{-3}{4}\right)^{3}-\left(\frac{-1}{4}\right)^{3} $c) $ 1+\left(\frac{3}{5}\right)^{3} $
化简： $ \left(\frac{81}{16}\right)^{\frac{-3}{4}} \times\left[\left(\frac{25}{4}\right)^{\frac{-3}{2}} \div\left(\frac{5}{2}\right)^{-3}\right] $
化简: $3\left(\frac{-3}{2}\right) \ \div \ 6\left(\frac{-3}{2}\right)$

开启你的职业生涯

完成课程获得认证

开始学习