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Question
Express the following rational numbers with a negative exponent:
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Solution
\[ \left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 3} \]
\[ = \left( \frac{3}{2} \right)^{- 12} \left[ \because \left( a^m \right)^n = a^{mn} \right]\]
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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 | ||||||||
| 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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- Predict the ones digit in the following:
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- 317
- 5100
- 10500
- Predict the ones digit in the following:
- 3110
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