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1.3 Exercises

From Förberedande kurs i matematik 1

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Revision as of 13:12, 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) 51254(52)6
d) 223(2)4 e) 625(58+59)1


Exercise 1.3:5

Calculate

a) 412  b) 412  c) 932 
d) 47233  e) 314306 f) 12513227132912 


Exercise 1.3:6

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

a) 25613   and  20013  b) 053  and  043 c) 025  and  027
d) 40013   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}