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1.3 Übungen

Aus Online Mathematik Brückenkurs 1

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|width="25%"| <math>\Bigl(\displaystyle \frac{2}{3}\Bigr)^{-3}</math>
|width="25%"| <math>\Bigl(\displaystyle \frac{2}{3}\Bigr)^{-3}</math>
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</div>{{#NAVCONTENT:Answer|Answer 1.3:1|Solution a|Solution 1.3:1a|Solution b|Solution 1.3:1b|Solution c|Solution 1.3:1c|Solution d|Solution 1.3:1d}}
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</div>{{#NAVCONTENT:Antwort|Antwort 1.3:1|Solution a|Solution 1.3:1a|Solution b|Solution 1.3:1b|Solution c|Solution 1.3:1c|Solution d|Solution 1.3:1d}}
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|width="33%"| <math>1</math>
|width="33%"| <math>1</math>
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</div>{{#NAVCONTENT:Answer|Answer 1.3:2|Solution a|Solution 1.3:2a|Solution b|Solution 1.3:2b|Solution c|Solution 1.3:2c}}
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</div>{{#NAVCONTENT:Antwort|Antwort 1.3:2|Solution a|Solution 1.3:2a|Solution b|Solution 1.3:2b|Solution c|Solution 1.3:2c}}
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|width="20%"| <math>\displaystyle \frac{3}{9^2}</math>
|width="20%"| <math>\displaystyle \frac{3}{9^2}</math>
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</div>{{#NAVCONTENT:Answer|Answer 1.3:3|Solution a|Solution 1.3:3a|Solution b|Solution 1.3:3b|Solution c|Solution 1.3:3c|Solution d|Solution 1.3:3d|Solution e|Solution 1.3:3e}}
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</div>{{#NAVCONTENT:Antwort|Antwort 1.3:3|Solution a|Solution 1.3:3a|Solution b|Solution 1.3:3b|Solution c|Solution 1.3:3c|Solution d|Solution 1.3:3d|Solution e|Solution 1.3:3e}}
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||<math>625\cdot(5^{8}+5^{9})^{-1}</math>
||<math>625\cdot(5^{8}+5^{9})^{-1}</math>
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</div>{{#NAVCONTENT:Answer|Answer 1.3:4|Solution a|Solution 1.3:4a|Solution b|Solution 1.3:4b|Solution c|Solution 1.3:4c|Solution d|Solution 1.3:4d|Solution e|Solution 1.3:4e}}
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</div>{{#NAVCONTENT:Antwort|Antwort 1.3:4|Solution a|Solution 1.3:4a|Solution b|Solution 1.3:4b|Solution c|Solution 1.3:4c|Solution d|Solution 1.3:4d|Solution e|Solution 1.3:4e}}
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||<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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</div>{{#NAVCONTENT:Answer|Answer 1.3:5|Solution a|Solution 1.3:5a|Solution b|Solution 1.3:5b|Solution c|Solution 1.3:5c|Solution d|Solution 1.3:5d|Solution e|Solution 1.3:5e|Solution f|Solution 1.3:5f}}
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</div>{{#NAVCONTENT:Antwort|Antwort 1.3:5|Solution a|Solution 1.3:5a|Solution b|Solution 1.3:5b|Solution c|Solution 1.3:5c|Solution d|Solution 1.3:5d|Solution e|Solution 1.3:5e|Solution f|Solution 1.3:5f}}
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||<math>2^{56}\ </math> and <math>\ 3^{40} </math>
||<math>2^{56}\ </math> and <math>\ 3^{40} </math>
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</div>{{#NAVCONTENT:Answer|Answer 1.3:6|Solution a|Solution 1.3:6a|Solution b|Solution 1.3:6b|Solution c|Solution 1.3:6c|Solution d|Solution 1.3:6d|Solution e|Solution 1.3:6e|Solution f|Solution 1.3:6f}}
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</div>{{#NAVCONTENT:Antwort|Antwort 1.3:6|Solution a|Solution 1.3:6a|Solution b|Solution 1.3:6b|Solution c|Solution 1.3:6c|Solution d|Solution 1.3:6d|Solution e|Solution 1.3:6e|Solution f|Solution 1.3:6f}}

Version vom 09:22, 22. Okt. 2008

 

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Übung 1.3:1

Calculate

a) 2332 b) 359−2 c) (−5)3 d) 32−3 

Antwort | Solution a | Solution b | Solution c | Solution d


Übung 1.3:2

Write each of the following as a power of 2

a) 248 b) 0.25 c) 1

Antwort | Solution a | Solution b | Solution c


Übung 1.3:3

Write each of the following as a power of 3

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

Antwort | Solution a | Solution b | Solution c | Solution d | Solution e


Übung 1.3:4

Calculate

a) 292−7 b) 3139−327−2 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}

Antwort | 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}

Antwort | 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}

Antwort | Solution a | Solution b | Solution c | Solution d | Solution e | Solution f

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