Lösung 1.3:4a

Aus Online Mathematik Brückenkurs 1

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Because the base is the same in both factors, the exponents can be combined according to the power rules
Because the base is the same in both factors, the exponents can be combined according to the power rules
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{{Displayed math||<math>2^{9}\cdot 2^{-7} = 2^{9-7} = 2^{2} = 4\,</math>.}}
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<math>2^{9}\centerdot 2^{-7}=2^{9-7}=2^{2}=4</math>
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Alternatively, the expressions for the powers can be expanded completely and then cancelled out,
Alternatively, the expressions for the powers can be expanded completely and then cancelled out,
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{{Displayed math||<math>\begin{align}
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<math>\begin{align}
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2^{9-7} &= 2\cdot 2\cdot {}\rlap{/}2\cdot {}\rlap{/}2\cdot {}\rlap{/}2\cdot {}\rlap{/}2\cdot {}\rlap{/}2\cdot {}\rlap{/}2\cdot {}\rlap{/}2\cdot \frac{1}{{}\rlap{/}2\cdot {}\rlap{/}2\cdot {}\rlap{/}2\cdot {}\rlap{/}2\cdot {}\rlap{/}2\cdot {}\rlap{/}2\cdot {}\rlap{/}2}\\[5pt]
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& 2^{9-7}=2\centerdot 2\centerdot 2\centerdot 2\centerdot 2\centerdot 2\centerdot 2\centerdot 2\centerdot 2\centerdot \frac{1}{2\centerdot 2\centerdot 2\centerdot 2\centerdot 2\centerdot 2\centerdot 2} \\
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&= 2\cdot 2 = 4\,\textrm{.}\end{align}</math>}}
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& \\
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& =2\centerdot 2=4 \\
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\end{align}</math>
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Version vom 13:51, 22. Sep. 2008

Because the base is the same in both factors, the exponents can be combined according to the power rules

Vorlage:Displayed math

Alternatively, the expressions for the powers can be expanded completely and then cancelled out,

Vorlage:Displayed math

Von „http://wiki.sommarmatte.se/wikis/2009/bridgecourse1-TU-Berlin/index.php/L%C3%B6sung_1.3:4a“