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प्रश्न
For any two non-zero rational numbers a and b, a4 ÷ b4 is equal to
विकल्प
(a ÷ b)1
(a ÷ b)0
(a ÷ b)4
(a ÷ b)8
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उत्तर
(a ÷ b)4
This is one of the basic exponential formulae, i.e. (a ÷ b)n = an ÷ bn
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संबंधित प्रश्न
Evaluate.
`(1/2)^(-5)`
Simplify and express the result in power notation with positive exponent.
`(1/2^3)^2`
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?
Simplify:
\[\left\{ 5^{- 1} \div 6^{- 1} \right\}^3\]
Simplify:
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]
Find the value of (2−1 × 4−1) ÷2−2.
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
