W zadaniu korzystamy z informacji:

$\sqrt[10]{10}\approx 1,258925$  

czyli:

${10}^{\frac{1}{10}}\approx 1,258925$  

 

$\text{a)}{10}^{1,1}={10}^{1+0,1}={10}^{1+\frac{1}{10}}={10}^1\cdot {10}^{\frac{1}{10}}\approx 10\cdot 1,258925=12,58925\approx 12,5893$   

$\text{b)}{10}^{-0,9}={10}^{-1+0,1}={10}^{-1+\frac{1}{10}}={10}^{-1}\cdot {10}^{\frac{1}{10}}\approx \frac{1}{10}\cdot 1,258925=0,1258925\approx 0,1259$  

$\text{c)}{10}^{-1,9}={10}^{-2+0,1}={10}^{-2+\frac{1}{10}}={10}^{-2}\cdot {10}^{\frac{1}{10}}\approx \frac{1}{100}\cdot 1,258925=0,01258925\approx 0,0126$  

$\text{c)}{10}^{-2,9}={10}^{-3+0,1}={10}^{-3+\frac{1}{10}}={10}^{-3}\cdot {10}^{\frac{1}{10}}\approx \frac{1}{1000}\cdot 1,258925=0,001258925\approx 0,0013$