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Question
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
\[\left( \frac{1}{2} \right)^{- 5}\]
Sum
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Solution
We know that
\[a^{- n} = \frac{1}{a^n}\]
`(1/2)^(-5)=2^5=32`
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| Powers Table | ||||||||||
| x | 1x | 2x | 3x | 4x | 5x | 6x | 7x | 8x | 9x | 10x |
| 1 | 1 | 2 | ||||||||
| 2 | 1 | 4 | ||||||||
| 3 | 1 | 8 | ||||||||
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| 8 | 1 | 256 | ||||||||
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1 | 2, 4, 8, 6 | ||||||||
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