Solution 1.3:5c
From Förberedande kurs i matematik 1
We can write \displaystyle 9 = 3\cdot 3 = 3^{2} and then the power rules give
| \displaystyle 9^{\frac{3}{2}} = \bigl(3^{2}\bigr)^{\frac{3}{2}} = 3^{2\cdot \frac{3}{2}} = 3^{3} = 3\cdot 3\cdot 3 = 27\,. |
