Processing Math: 43%
1.3 Übungen
Aus Online Mathematik Brückenkurs 1
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Write each of the following as a power of <math>2</math> | Write each of the following as a power of <math>2</math> | ||
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Write each of the following as a power of <math>3</math> | Write each of the following as a power of <math>3</math> | ||
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Calculate | Calculate | ||
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Calculate | Calculate | ||
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| - | === | + | ===Übung 1.3:6=== |
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Determine which is the larger of the two numbers in each of the following cases: | Determine which is the larger of the two numbers in each of the following cases: | ||
Version vom 09:14, 22. Okt. 2008
Übung 1.3:1
Calculate
| a) |  32 | b) | 9−2 | c) | | d) |  32 −3 |
Answer | Solution a | Solution b | Solution c | Solution d
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Übung 1.3:2
Write each of the following as a power of
| a) | 48 | b) | | c) | |
Answer | Solution a | Solution b | Solution c
Übung 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
Übung 1.3:4
Calculate
| a) | 2−7 | b) | 9−327−2 | 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} |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e
Übung 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\textrm{.}4}\cdot3^{0\textrm{.}6} | f) | \displaystyle \bigl( 125 ^{1/3} \bigr)^2\cdot \bigl( 27^{1/3} \bigr)^{-2}\cdot9^{1/2} |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f
Übung 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\textrm{.}5^{-3}\ and \displaystyle \ 0\textrm{.}4^{-3} | c) | \displaystyle 0\textrm{.}2^5\ and \displaystyle \ 0\textrm{.}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} |
Answer | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f
