Processing Math: 43%
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.

No jsMath TeX fonts found -- using image fonts instead.
These may be slow and might not print well.
Use the jsMath control panel to get additional information.
jsMath Control PanelHide this Message


jsMath

1.3 Exercises

From Förberedande kurs i matematik 1

(Difference between revisions)
Jump to: navigation, search
m (Robot: Automated text replacement (-{{Ej vald flik +{{Not selected tab))
m (Robot: Automated text replacement (-{{Vald flik +{{Selected tab))
Line 3: Line 3:
| style="border-bottom:1px solid #000" width="5px" |  
| style="border-bottom:1px solid #000" width="5px" |  
{{Not selected tab|[[1.3 Powers|Theory]]}}
{{Not selected tab|[[1.3 Powers|Theory]]}}
-
{{Vald flik|[[1.3 Exercises|Exercises]]}}
+
{{Selected tab|[[1.3 Exercises|Exercises]]}}
| style="border-bottom:1px solid #000" width="100%"|  
| style="border-bottom:1px solid #000" width="100%"|  
|}
|}

Revision as of 13:49, 10 September 2008

       Theory          Exercises      


Exercise 1.3:1

Calculate

a) 2332 b) 3592 c) (5)3 d) 323 


Exercise 1.3:2

Write each of the following as a power of 2

a) 248 b) 025 c) 1


Exercise 1.3:3

Write each of the following as a power of 3

a) 31 b) 243 c) 92 d) 127 e) 392


Exercise 1.3:4

Calculate

a) 2927 b) 31393272 c) \displaystyle \displaystyle \frac{5^{12}}{5^{-4}}\cdot(5^{2})^{-6}
d) \displaystyle 2^{2^{\scriptstyle3}}\cdot(-2)^{\scriptstyle-4} e) \displaystyle 625\cdot(5^{8}+5^{9})^{-1}


Exercise 1.3:5

Calculate

a) \displaystyle 4^{1/2} b) \displaystyle 4^{-1/2} c) \displaystyle 9^{3/2}
d) \displaystyle \left(47^{2/3} \right) ^{3} e) \displaystyle 3^{1{,}4}\cdot3^{0{,}6} f) \displaystyle \bigl( 125 ^{1/3} \bigr)^2\cdot \bigl( 27^{1/3} \bigr)^{-2}\cdot9^{1/2}


Exercise 1.3:6

Determine which is the larger of the two numbers in each of the following cases:

a) \displaystyle 256^{1/3}\ and \displaystyle \ 200^{1/3} b) \displaystyle 0{,}5^{-3}\ and \displaystyle \ 0{,}4^{-3} c) \displaystyle 0{,}2^5\ and \displaystyle \ 0{,}2^{7}
d) \displaystyle 400^{1/3}\ and \displaystyle \ \bigl(5^{1/3}\bigr)^{4} e) \displaystyle 125^{1/2}\ and \displaystyle \ 625^{1/3} f) \displaystyle 2^{56}\ and \displaystyle \ 3^{40}