Solution 1.3:3e
From Förberedande kurs i matematik 1
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| - | { | + | The number 9 can be written as <math>9=3\cdot 3=3^{2}</math> and hence the denominator in the expression is equal to |
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| - | {{ | + | {{Displayed math||<math>9^{2} = (3^{2})^{2} = 3^{2\cdot 2} = 3^{4}\,</math>.}} |
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| + | The whole quotient becomes | ||
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| + | {{Displayed math||<math>\frac{3}{9^{2}}=\frac{3^{1}}{3^{4}}=3^{1-4}=3^{^{-3}}</math>.}} | ||
Current revision
The number 9 can be written as \displaystyle 9=3\cdot 3=3^{2} and hence the denominator in the expression is equal to
| \displaystyle 9^{2} = (3^{2})^{2} = 3^{2\cdot 2} = 3^{4}\,. |
The whole quotient becomes
| \displaystyle \frac{3}{9^{2}}=\frac{3^{1}}{3^{4}}=3^{1-4}=3^{^{-3}}. |
