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1.3 Exercises

From Förberedande kurs i matematik 1

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|width="33%"| <math>2\cdot4\cdot8</math>
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|| <math>\left(47^{2/3} \right) ^{3}</math>
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||<math>\bigl( 125 ^{1/3} \bigr)^2\cdot \bigl( 27^{1/3} \bigr)^{-2}\cdot9^{1/2}</math>
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===Exercise 1.3:6===
===Exercise 1.3:6===
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Determine which is the larger of the two numbers in each of the following cases:
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In each of the following cases, determine which is the larger of the two numbers.
{| width="100%" cellspacing="10px"
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|width="33%" | <math>256^{1/3}\ </math> and <math>\ 200^{1/3} </math>
|width="33%" | <math>256^{1/3}\ </math> and <math>\ 200^{1/3} </math>
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|width="33%" | <math>0{,}5^{-3}\ </math> and <math>\ 0{,}4^{-3} </math>
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|width="33%" | <math>0\textrm{.}5^{-3}\ </math> and <math>\ 0\textrm{.}4^{-3} </math>
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|width="33%" | <math>0{,}2^5\ </math> and <math>\ 0{,}2^{7} </math>
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|width="33%" | <math>0\textrm{.}2^5\ </math> and <math>\ 0\textrm{.}2^{7} </math>
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Current revision

       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) 0.25 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) 31.430.6 f) 12513227132912 


Exercise 1.3:6

In each of the following cases, determine which is the larger of the two numbers.

a) 25613   and  20013  b) 0.53  and  0.43 c) 0.25  and  0.27
d) 40013   and  5134  e) 12512   and  62513  f) 256  and  340