Solution 1.3:2a
From Förberedande kurs i matematik 1
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- | {{ | + | We can write every factor in the expression as a power of 2, |
- | + | ||
- | {{ | + | {{Displayed math||<math>\begin{align} |
+ | 2 &= 2^{1}\,, \\ | ||
+ | 4 &= 2\cdot 2 = 2^{2}\,,\\ | ||
+ | 8 &= 2\cdot 4 = 2\cdot 2\cdot 2 = 2^{3}\,, | ||
+ | \end{align}</math>}} | ||
+ | |||
+ | which gives | ||
+ | |||
+ | {{Displayed math||<math>2\cdot 4\cdot 8 = 2^{1}\cdot 2^{2}\cdot 2^{3} = 2^{1+2+3} = 2^{6}\,</math>.}} |
Current revision
We can write every factor in the expression as a power of 2,
\displaystyle \begin{align}
2 &= 2^{1}\,, \\ 4 &= 2\cdot 2 = 2^{2}\,,\\ 8 &= 2\cdot 4 = 2\cdot 2\cdot 2 = 2^{3}\,, \end{align} |
which gives
\displaystyle 2\cdot 4\cdot 8 = 2^{1}\cdot 2^{2}\cdot 2^{3} = 2^{1+2+3} = 2^{6}\,. |