Advertisements
Advertisements
प्रश्न
Express the following as a rational number in the form \[\frac{p}{q}:\]
6−1
योग
उत्तर
\[(i) 6^{- 1} = \frac{1}{6}\] → (a−1 = 1/a)
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Evaluate.
3−2
Find the value of the following:
\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1}\]
Evaluate:
\[\left( \frac{- 1}{2} \right)^{- 1}\]
Express the following as a rational number in the form \[\frac{p}{q}:\]
\[( - 4 )^{- 1} \times \left( \frac{- 3}{2} \right)^{- 1}\]
Express the following rational numbers with a positive exponent:
\[\left\{ \left( \frac{3}{2} \right)^4 \right\}^{- 2}\]
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
Find the value of x for which 52x ÷ 5−3 = 55.
\[\left\{ \left( \frac{1}{3} \right)^2 \right\}^4\] is equal to
For any two rational numbers a and b, a5 × b5 is equal to
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
