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प्रश्न
Find the value of the following:
3−1 + 4−1
उत्तर
We know from the property of powers that for every natural number a, a−1 = 1/a. Then:
`3^(-1)+4^(-1)=1/3+1/4` `->(a^(-1)=1/a)`
=`(4+3)/12`
`=7/12`
APPEARS IN
संबंधित प्रश्न
Find the value of (3−1 + 4−1 + 5−1)0
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Evaluate:
\[\left( \frac{1}{3} \right)^{- 4}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
(−7)−1
Simplify:
\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\]
Simplify:
Simplify:
Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]
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
