Solution 1.3:5b
From Förberedande kurs i matematik 1
(Difference between revisions)
m |
|||
Line 1: | Line 1: | ||
- | If we use | + | If we use <math>4 = 2\cdot 2 = 2^{2}</math>, the power rules give |
- | <math>4=2\ | + | |
- | + | {{Displayed math||<math>4^{-\frac{1}{2}} = \bigl( 2^{2}\bigr)^{-\frac{1}{2}} = 2^{2\cdot (-\frac{1}{2})} = 2^{-1} = \frac{1}{2}\,</math>.}} | |
- | <math>4^{-\frac{1}{2}}=\ | + |
Current revision
If we use \displaystyle 4 = 2\cdot 2 = 2^{2}, the power rules give
\displaystyle 4^{-\frac{1}{2}} = \bigl( 2^{2}\bigr)^{-\frac{1}{2}} = 2^{2\cdot (-\frac{1}{2})} = 2^{-1} = \frac{1}{2}\,. |