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प्रश्न
Write the following in exponential form:
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उत्तर
\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} = \left( \frac{3}{2} \right)^{- 1 + \left( - 1 \right) + \left( - 1 \right) + \left( - 1 \right)} \left\{ a^m \times a^n = a^{m + n} \right\}\]
\[ = \left( \frac{3}{2} \right)^{- 4} \]
APPEARS IN
संबंधित प्रश्न
Find the value of `{((-2)/3)^(-2)}^2`
Find the value of the following:
3−1 + 4−1
Find the value of the following:
(3−1 + 4−1 + 5−1)0
Simplify:
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
(−7)−1
Simplify:
\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]
Evaluate.
(5−1 × 2−1))× 6−1
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`
