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प्रश्न
Evaluate:
5−2
योग
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उत्तर
\[5^{- 2} = \frac{1}{5^2}\] → (a−n = 1/(an))
\[= \frac{1}{25}\]
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संबंधित प्रश्न
Find the value of the following:
\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]
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(5−1 × 2−1) ÷ 6−1
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\[\left( 3^2 + 2^2 \right) \times \left( \frac{1}{2} \right)^3\]
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\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 3}\]
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\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 2}\]
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\[\left\{ \left( \frac{2}{3} \right)^2 \right\}^3 \times \left( \frac{1}{3} \right)^{- 4} \times 3^{- 1} \times 6^{- 1}\]
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Predicting the ones digit, copy and complete this table and answer the questions that follow.
| 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 | ||||||||
- Describe patterns you see in the ones digits of the powers.
- Predict the ones digit in the following:
- 412
- 920
- 317
- 5100
- 10500
- Predict the ones digit in the following:
- 3110
- 1210
- 1721
- 2910
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
