Advertisements
Advertisements
प्रश्न
Find the value of `(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`
योग
Advertisements
उत्तर
`(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`
= `(2/1)^(2)+(3/1)^(2)+(4/1)^(2)` `(thereforea^(-m)=1/a^m)`
= 22 + 32 + 42
= 4 + 9 + 16
= 29
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 10: Exponents and Powers - EXERCISE 10.1 [पृष्ठ १२५]
APPEARS IN
संबंधित प्रश्न
Simplify:
\[\left[ \left( \frac{1}{3} \right)^{- 3} - \left( \frac{1}{2} \right)^{- 3} \right] \div \left( \frac{1}{4} \right)^{- 3}\]
Evaluate:
(−3)−2
Simplify:
\[\left\{ 4^{- 1} \times 3^{- 1} \right\}^2\]
Express the following rational numbers with a negative exponent:
\[\left( \frac{1}{4} \right)^3\]
By what number should \[\left( \frac{5}{3} \right)^{- 2}\] be multiplied so that the product may be \[\left( \frac{7}{3} \right)^{- 1} ?\]
Find the value of x for which 52x ÷ 5−3 = 55.
\[\left( \frac{- 1}{2} \right)^5 \times \left( \frac{- 1}{2} \right)^3\] is equal to
Expand the following numbers using exponents.
1256.249
The multiplicative inverse of 10–100 is ______.
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
