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प्रश्न
Simplify:
\[\left( 2^2 + 3^2 - 4^2 \right) \div \left( \frac{3}{2} \right)^2\]
बेरीज
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उत्तर
\[( 2^2 + 3^2 - 4^2 ) \div \left( \frac{3}{2} \right)^2 = (4 + 9 - 16) \times \frac{9}{4}\] `->((a/b)^n=(a^n)/(b^n))`
\[= - 3 \times \frac{4}{9}\] ...(We know that `1/a div 1/b = 1/a xx b/1`)
`-4/3`
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संबंधित प्रश्न
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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
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- Predict the ones digit in the following:
- 3110
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