Solution 1.3:3e
From Förberedande kurs i matematik 1
(Difference between revisions)
m (Robot: Automated text replacement (-[[Bild: +[[Image:)) |
m |
||
(2 intermediate revisions not shown.) | |||
Line 1: | Line 1: | ||
- | { | + | 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 |
- | < | + | |
- | {{ | + | {{Displayed math||<math>9^{2} = (3^{2})^{2} = 3^{2\cdot 2} = 3^{4}\,</math>.}} |
+ | |||
+ | The whole quotient becomes | ||
+ | |||
+ | {{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}}. |