Advertisements
Advertisements
प्रश्न
For a non-zero rational number a, a7 ÷ a12 is equal to
पर्याय
a5
a−19
a−5
a19
MCQ
बेरीज
Advertisements
उत्तर
a−5
`a^mdiva^n=a^(m-n)`
Hence,
`a^7diva^12=a^(7-12)=a^(-5)`
shaalaa.com
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
संबंधित प्रश्न
Evaluate.
3−2
Find the value of m for which 5m ÷5−3 = 55.
Write the following in exponential form:
\[\left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1} \times \left( \frac{3}{2} \right)^{- 1}\]
Express the following rational numbers with a negative exponent:
\[\left( \frac{1}{4} \right)^3\]
Express the following rational numbers with a negative exponent:
\[\left\{ \left( \frac{7}{3} \right)^4 \right\}^{- 3}\]
Simplify:
\[\left[ \left\{ \left( \frac{- 1}{4} \right)^2 \right\}^{- 2} \right]^{- 1}\]
Find x, if \[\left( \frac{1}{4} \right)^{- 4} \times \left( \frac{1}{4} \right)^{- 8} = \left( \frac{1}{4} \right)^{- 4x}\]
Find the value of (30 + 4−1) × 22.
The expression for 4–3 as a power with the base 2 is 26.
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
