Solution 1.3:3e

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m (Lösning 1.3:3e moved to Solution 1.3:3e: Robot: moved page)
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The number
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<center> [[Image:1_3_3e.gif]] </center>
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<math>9</math>
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can be written as
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<math>9=3\centerdot 3=3^{2}</math>
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and hence the denominator in the expression is equal to
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<math>9^{2}=\left( 3^{2} \right)^{2}=3^{2\centerdot 2}=3^{4}</math>
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The whole quotient becomes
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<math>\frac{3}{9^{2}}=\frac{3^{1}}{3^{4}}=3^{1-4}=3^{^{-3}}</math>

Revision as of 11:42, 15 September 2008

The number \displaystyle 9 can be written as \displaystyle 9=3\centerdot 3=3^{2}

and hence the denominator in the expression is equal to


\displaystyle 9^{2}=\left( 3^{2} \right)^{2}=3^{2\centerdot 2}=3^{4}

The whole quotient becomes


\displaystyle \frac{3}{9^{2}}=\frac{3^{1}}{3^{4}}=3^{1-4}=3^{^{-3}}

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