Advertisements
Advertisements
प्रश्न
Simplify:
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1}\]
योग
Advertisements
उत्तर
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1} = \left( \frac{1}{2} + \frac{1}{3} \right)^{- 1} {\to (a}^{- 1} = 1/a) \]
\[ = \left( \frac{5}{6} \right)^{- 1} = \frac{6}{5} {\to (a}^{- 1} = 1/a)\]
\[ = \left( \frac{5}{6} \right)^{- 1} = \frac{6}{5} {\to (a}^{- 1} = 1/a)\]
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
संबंधित प्रश्न
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
\[\frac{1}{3^{- 2}}\]
Simplify:
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1}\]
Simplify:
\[\left( 2^2 + 3^2 - 4^2 \right) \div \left( \frac{3}{2} \right)^2\]
Simplify:
\[\left\{ 3^{- 1} \times 4^{- 1} \right\}^{- 1} \times 5^{- 1}\]
Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]
For any two non-zero rational numbers a and b, a4 ÷ b4 is equal to
The expression for 4–3 as a power with the base 2 is 26.
Express 3–5 × 3–4 as a power of 3 with positive exponent.
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.
(3−7 ÷ 3−10) × 3−5
