Solution 1.3:5a
From Förberedande kurs i matematik 1
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- | { | + | The number 4 can be written as <math>4=2\centerdot 2=2^{2}</math> and then, using the power rules, we obtain |
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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} =2\,</math>.}} |
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+ | Note: Another way to denote <math>4^{\frac{1}{2}}</math> is <math>\sqrt{4}</math> (the square root of 4); more on this in the section on roots later in the course. |
Current revision
The number 4 can be written as \displaystyle 4=2\centerdot 2=2^{2} and then, using the power rules, we obtain
\displaystyle 4^{\frac{1}{2}} = \bigl(2^{2}\bigr)^{\frac{1}{2}} = 2^{2\cdot \frac{1}{2}} = 2^{1} =2\,. |
Note: Another way to denote \displaystyle 4^{\frac{1}{2}} is \displaystyle \sqrt{4} (the square root of 4); more on this in the section on roots later in the course.