Advertisements
Advertisements
Question
Evaluate:
5−2
Sum
Advertisements
Solution
\[5^{- 2} = \frac{1}{5^2}\] → (a−n = 1/(an))
\[= \frac{1}{25}\]
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find the value of (3−1 + 4−1 + 5−1)0
Simplify:
\[\left( 4^{- 1} \times 3^{- 1} \right)^2\]
Simplify:
\[\left( 5^{- 1} \div 6^{- 1} \right)^3\]
Simplify:
\[\left( 2^{- 1} + 3^{- 1} \right)^{- 1}\]
Write the following in exponential form:
\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1}\]
Simplify:
\[\left\{ \left( \frac{1}{2} \right)^{- 1} \times ( - 4 )^{- 1} \right\}^{- 1}\]
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
\[\left( \frac{- 1}{2} \right)^5 \times \left( \frac{- 1}{2} \right)^3\] is equal to
Find the value of (30 + 4−1) × 22.
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
