Solution 1.3:5b
From Förberedande kurs i matematik 1
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| - | { | + | If we use <math>4 = 2\cdot 2 = 2^{2}</math>, the power rules give |
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| - | {{ | + | {{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>.}} |
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}\,. |
