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प्रश्न
Express the following rational numbers with a positive exponent:
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उत्तर
\[\left( \frac{3}{4} \right)^{- 2} \]
\[ = \left( \frac{4}{3} \right)^2\] → (a−1 = 1/a)
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संबंधित प्रश्न
Simplify and express the result in power notation with positive exponent.
(−4)5 ÷ (−4)8
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
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 (−15)−1 be divided so that the quotient may be equal to (−5)−1?
Express the following as a rational number in the form \[\frac{p}{q}:\]
Simplify:
\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\]
Simplify:
Find the value of `(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`
Find the multiplicative inverse of the following.
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
