Advertisements
Advertisements
प्रश्न
Evaluate.
3−2
Advertisements
उत्तर
`3^(-2) = 1/3^2`
= `1/ (3xx3)`
= `1/9` ....`[∵ a^-m = 1/a^m]`
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.
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
Express the following as a rational number in the form \[\frac{p}{q}:\]
By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?
Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]
Find the value of (30 + 4−1) × 22.
The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.
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`
