Advertisements
Advertisements
प्रश्न
For a non zero rational number a, (a3)−2 is equal to
विकल्प
a9
a−6
a−9
a1
MCQ
योग
Advertisements
उत्तर
a−6
We have:
`(a^3)^(-2)=a^3xx(-2)` → ((am)n = am x n)
`=a^(-6)`
shaalaa.com
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Find the value of m for which 5m ÷5−3 = 55.
Express the following as a rational number in the form \[\frac{p}{q}:\]
6−1
Express the following rational numbers with a positive exponent:
\[\left( \frac{5}{4} \right)^{- 3}\]
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
Simplify:
\[\left\{ \left( \frac{2}{3} \right)^2 \right\}^3 \times \left( \frac{1}{3} \right)^{- 4} \times 3^{- 1} \times 6^{- 1}\]
Find x, if \[\left( \frac{1}{4} \right)^{- 4} \times \left( \frac{1}{4} \right)^{- 8} = \left( \frac{1}{4} \right)^{- 4x}\]
Square of \[\left( \frac{- 2}{3} \right)\] is
The multiplicative inverse of `(3/2)^2` is not equal to `(2/3)^-2`.
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
