Advertisements
Advertisements
प्रश्न
Simplify.
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8)) (t != 0)`
Advertisements
उत्तर
We have,
`(25 xx t^(-4))/(5^(-3) xx10xxt^(-8))`
`= ((5) xx t^-4)/ ((5)^-3 xx (5)^1 xx (2)^1 xx t^-8)`
`= ((5)^2 xx t^-4)/ (5^(-3 +1) xx (2)^1xxt^-8)` ...[∵ am . an = am+n]
`= ((5)^2 xx t^-4)/ ((5)^-2 xx (2)^1 xx t^-8)`
`= ((5)^(2+2) xxt^(-4+8))/ 2` ...`[a^m/a^n = a^(m-n)]`
`= ((5)^4 xxt^4)/2`
`= (625 xxt^4)/2`
`= (625t^4)/2`
APPEARS IN
संबंधित प्रश्न
Simplify and express the result in power notation with positive exponent.
`(1/2^3)^2`
Find the value of the following:
Simplify:
By what number should \[\left( \frac{5}{3} \right)^{- 2}\] be multiplied so that the product may be \[\left( \frac{7}{3} \right)^{- 1} ?\]
Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]
Evaluate.
`(8^(-1)xx5^(3))/2^(-4)`
Evaluate.
(5−1 × 2−1))× 6−1
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
