Advertisements
Advertisements
Question
Which of the following is not reciprocal of \[\left( \frac{2}{3} \right)^4 ?\]
Options
- \[\left( \frac{3}{2} \right)^4\]
- \[\left( \frac{2}{3} \right)^{- 4}\]
- \[\left( \frac{3}{2} \right)^{- 4}\]
- \[\frac{3^4}{2^4}\]
MCQ
Sum
Solution
\[\left( \frac{3}{2} \right)^{- 4}\]
The reciprocal of `(2/3)^4` is `(3/2)^4`
Therefore, option (a) is the correct answer.
Option (b) is just re-expressing the number with a negative exponent.
Option (d) is obtained by working out the exponent.
Hence,option (c) is not the reciprocal of `(2/3)^4`.
The reciprocal of `(2/3)^4` is `(3/2)^4`
Therefore, option (a) is the correct answer.
Option (b) is just re-expressing the number with a negative exponent.
Option (d) is obtained by working out the exponent.
Hence,option (c) is not the reciprocal of `(2/3)^4`.
shaalaa.com
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Evaluate.
`(5/8)^(-7) xx (8/5)^(-4)`
Simplify.
`(3^(-5) xx 10^(-5) xx 125)/(5^(-7) xx 6^(-5))`
By what number should (−15)−1 be divided so that the quotient may be equal to (−5)−1?
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]
Find x, if
\[\left( \frac{5}{4} \right)^{- x} \div \left( \frac{5}{4} \right)^{- 4} = \left( \frac{5}{4} \right)^5\]
Find x, if
\[\left( \frac{8}{3} \right)^{2x + 1} \times \left( \frac{8}{3} \right)^5 = \left( \frac{8}{3} \right)^{x + 2}\]
For a non-zero rational number a, a7 ÷ a12 is equal to
Find the multiplicative inverse of the following.
2– 4
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
