Advertisements
Advertisements
प्रश्न
Simplify:
Advertisements
उत्तर
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\] `=(9-4)xx1/(2/3)^3` `->(a^(-1)=1/a^n)`
`=5xx1/(8/27)` `->((a/b)^n=(a^n)/(b^n))`
`5xx27/8`
`=135/8`
APPEARS IN
संबंधित प्रश्न
Simplify:
Express the following rational numbers with a negative exponent:
Express the following rational numbers with a negative exponent:
Simplify:
By what number should 5−1 be multiplied so that the product may be equal to (−7)−1?
If \[x = \left( \frac{4}{5} \right)^{- 2} \div \left( \frac{1}{4} \right)^2\], find the value of x−1.
Which of the following numbers is not equal to \[\frac{- 8}{27}?\]
(a) \[\left( \frac{2}{3} \right)^{- 3}\]
(b) \[- \left( \frac{2}{3} \right)^3\]
(c) \[\left( - \frac{2}{3} \right)^3\]
(d) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
The cells of a bacteria double itself every hour. How many cells will there be after 8 hours, if initially we start with 1 cell. Express the answer in powers.
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
