Advertisements
Advertisements
प्रश्न
विकल्प
\[\left( \frac{1}{3} \right)^6\]
- \[\left( \frac{1}{3} \right)^8\]
- \[\left( \frac{1}{3} \right)^{24}\]
- \[\left( \frac{1}{3} \right)^{16}\]
Advertisements
उत्तर
\[\left( \frac{1}{3} \right)^8\]
We have:
\[\left\{ \left( \frac{1}{3} \right)^2 \right\}^4\] `=(1/3)^(2xx4)` → ( (am)n = amxn)
`=(1/3)^8`
संबंधित प्रश्न
Find the value of `{((-2)/3)^(-2)}^2`
Simplify:
Simplify:
\[\left( 4^{- 1} - 5^{- 1} \right) \div 3^{- 1}\]
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) \[\left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right) \times \left( \frac{- 2}{3} \right)\]
For any two non-zero rational numbers a and b, a4 ÷ b4 is equal to
Find the value of (2−1 × 4−1) ÷2−2.
Find the multiplicative inverse of the following.
The expression for 4–3 as a power with the base 2 is 26.
Express 16–2 as a power with the base 2.
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
