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प्रश्न
Simplify:
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उत्तर
`(4^(-1)xx3^(-1))^2-(1/4xx1/3)^2` `->(a^(-1)=1/a)`
`=(1/12)^2`
`=1^2/12^2` `->(a/b)^n=(a^n)/(b^n)`
`=1/144`
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संबंधित प्रश्न
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Find the value of the following:
\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1}\]
Simplify:
Evaluate:
5−2
Simplify:
\[\left\{ 5^{- 1} \div 6^{- 1} \right\}^3\]
Express the following rational numbers with a negative exponent:
Express the following rational numbers with a positive exponent:
If \[x = \left( \frac{4}{5} \right)^{- 2} \div \left( \frac{1}{4} \right)^2\], find the value of x−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
