Solution 1.3:5a
From Förberedande kurs i matematik 1
(Difference between revisions)
(Ny sida: {{NAVCONTENT_START}} <center> Bild:1_3_5a.gif </center> {{NAVCONTENT_STOP}}) |
m |
||
(3 intermediate revisions not shown.) | |||
Line 1: | Line 1: | ||
- | { | + | The number 4 can be written as <math>4=2\centerdot 2=2^{2}</math> and then, using the power rules, we obtain |
- | < | + | |
- | {{ | + | {{Displayed math||<math>4^{\frac{1}{2}} = \bigl(2^{2}\bigr)^{\frac{1}{2}} = 2^{2\cdot \frac{1}{2}} = 2^{1} =2\,</math>.}} |
+ | |||
+ | 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.