Advertisements
Advertisements
प्रश्न
The expression for 4–3 as a power with the base 2 is 26.
पर्याय
True
False
Advertisements
उत्तर
This statement is False.
Explanation:
Using law of exponents,
`a^-m = 1/a^m`
∴ `4^-3 = 1/44^3`
= `1/(2^2)^3` ...[∵ 2 × 2 = 4, (am)n = (a)mn]
= `1/(2)^6`
APPEARS IN
संबंधित प्रश्न
Evaluate.
`(1/2)^(-5)`
Simplify.
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8)) (t != 0)`
Simplify:
Express the following rational numbers with a positive exponent:
By what number should \[\left( \frac{1}{2} \right)^{- 1}\] be multiplied so that the product may be equal to \[\left( \frac{- 4}{7} \right)^{- 1} ?\]
Find x, if
If \[x = \left( \frac{4}{5} \right)^{- 2} \div \left( \frac{1}{4} \right)^2\], find the value of x−1.
For a non zero rational number a, (a3)−2 is equal to
Evaluate.
`(8^(-1)xx5^(3))/2^(-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
