توان

$2^7=2\times 2\times 2\times 2\times 2\times 2\times 2$

$2$ به‌توان $7$ 

$1^5=1\times 1\times 1\times 1\times 1$

$1$ به‌توان $5$ 

${\left(\frac{4}{5}\right)}^3=\frac{4}{5}\times \frac{4}{5}\times \frac{4}{5}$

$\frac{4}{5}$ به‌توان $3$ 

$\left\{\begin{array}{l}{2}^4=2\times 2\times 2\times 2=16\\ 5^2=5\times 5=25\end{array}〉\right.2^4+5^2=\left(16\right)+\left(25\right)=41$

$\left\{\begin{array}{l}{2}^3=2\times 2\times 2=8\\ 3^2=3\times 3=9\end{array}〉\right.2^3\times 3^2=\left(8\right)\times \left(9\right)=72$

$\left\{\begin{array}{l}{3}^3=3\times 3\times 3=27\\ 4^2=4\times 4=16\end{array}〉\right.3^3-4^2=\left(27\right)-\left(16\right)=11$

$\left\{\begin{array}{l}{10}^3=10\times 10\times 10=1000\\ 5^2=5\times 5=25\end{array}〉\right.{10}^3÷5^2=\left(1000\right)÷\left(25\right)=40$

$\left\{\begin{array}{l}{3}^3=3\times 3\times 3=27\\ 4^3=4\times 4\times 4=64\\ 5^3=5\times 5\times 5=125\end{array}〉\right.3^3+4^3+5^3=\left(27\right)+\left(64\right)+\left(125\right)=216$

$\left\{\begin{array}{l}{2}^6=2\times 2\times 2\times 2\times 2\times 2=64\\ 6^2=6\times 6=36\\ 4^2=4\times 4=16\end{array}〉\right.2^6-6^2+4^2=\left(64\right)-\left(36\right)+\left(16\right)=44$

$\left\{\begin{array}{l}{2}^5=2\times 2\times 2\times 2\times 2=32\\ {\left(\frac{1}{2}\right)}^3=\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}=\frac{1}{8}\end{array}〉\right.2^5+{\left(\frac{1}{2}\right)}^3=32+\frac{1}{8}=\frac{\left(32\times 8\right)+1}{8}=\frac{256+1}{8}=\frac{257}{8}$