Processing Math: 86%
1.3 Exercises
From Förberedande kurs i matematik 1
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|width="33%"| <math>2\cdot4\cdot8</math> | |width="33%"| <math>2\cdot4\cdot8</math> | ||
|b) | |b) | ||
- | |width="33%"| <math>0{ | + | |width="33%"| <math>0\textrm{.}25</math> |
|c) | |c) | ||
|width="33%"| <math>1</math> | |width="33%"| <math>1</math> | ||
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|| <math>\left(47^{2/3} \right) ^{3}</math> | || <math>\left(47^{2/3} \right) ^{3}</math> | ||
|e) | |e) | ||
- | ||<math>3^{1{ | + | ||<math>3^{1\textrm{.}4}\cdot3^{0\textrm{.}6}</math> |
|f) | |f) | ||
||<math>\bigl( 125 ^{1/3} \bigr)^2\cdot \bigl( 27^{1/3} \bigr)^{-2}\cdot9^{1/2}</math> | ||<math>\bigl( 125 ^{1/3} \bigr)^2\cdot \bigl( 27^{1/3} \bigr)^{-2}\cdot9^{1/2}</math> | ||
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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> | ||
|b) | |b) | ||
- | |width="33%" | <math>0{ | + | |width="33%" | <math>0\textrm{.}5^{-3}\ </math> and <math>\ 0\textrm{.}4^{-3} </math> |
|c) | |c) | ||
- | |width="33%" | <math>0{ | + | |width="33%" | <math>0\textrm{.}2^5\ </math> and <math>\ 0\textrm{.}2^{7} </math> |
|- | |- | ||
|d) | |d) |
Revision as of 07:36, 23 September 2008
Theory | Exercises |
Exercise 1.3:1
Calculate
a) | ![]() | b) | ![]() | c) | | d) | ![]() ![]() |
Answer | Solution a | Solution b | Solution c | Solution d
Exercise 1.3:2
Write each of the following as a power of
a) | ![]() ![]() | b) | | c) | |
Answer | Solution a | Solution b | Solution c
Exercise 1.3:3
Write each of the following as a power of
a) | | b) | | c) | | d) | | e) | |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e
Exercise 1.3:4
Calculate
a) | ![]() | b) | ![]() ![]() | c) | ![]() |
d) | ![]() | e) | ![]() |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e
Exercise 1.3:5
Calculate
a) | ![]() | b) | ![]() | c) | ![]() |
d) | ![]() ![]() ![]() | e) | ![]() | f) | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f
Exercise 1.3:6
Determine which is the larger of the two numbers in each of the following cases:
a) | ![]() ![]() | b) | | c) | |
d) | ![]() | e) | \displaystyle 125^{1/2}\ and \displaystyle \ 625^{1/3} | f) | \displaystyle 2^{56}\ and \displaystyle \ 3^{40} |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f