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प्रश्न
Express the following rational numbers with a positive exponent:
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उत्तर
\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 2} \]
\[ = \left( \frac{3}{2} \right)^{4 \times - 2} \]
\[ = \left( \frac{3}{2} \right)^{- 8} \]
\[ = \left( \frac{2}{3} \right)^8\] → ((am)n = amn)
संबंधित प्रश्न
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
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3−1 + 4−1
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Express the following as a rational number in the form \[\frac{p}{q}:\]
Simplify:
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Expand the following numbers using exponents.
1025.63
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.
2−3 × (−7)−3
