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Question
Express the following rational numbers with a positive exponent:
\[\left( \frac{3}{4} \right)^{- 2}\]
Sum
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Solution
\[\left( \frac{3}{4} \right)^{- 2} \]
\[ = \left( \frac{4}{3} \right)^2\] → (a−1 = 1/a)
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| Powers Table | ||||||||||
| x | 1x | 2x | 3x | 4x | 5x | 6x | 7x | 8x | 9x | 10x |
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| 2 | 1 | 4 | ||||||||
| 3 | 1 | 8 | ||||||||
| 4 | 1 | 16 | ||||||||
| 5 | 1 | 32 | ||||||||
| 6 | 1 | 64 | ||||||||
| 7 | 1 | 128 | ||||||||
| 8 | 1 | 256 | ||||||||
| Ones Digits of the Powers |
1 | 2, 4, 8, 6 | ||||||||
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