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प्रश्न
For a non-zero rational number a, a7 ÷ a12 is equal to
पर्याय
a5
a−19
a−5
a19
MCQ
बेरीज
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उत्तर
a−5
`a^mdiva^n=a^(m-n)`
Hence,
`a^7diva^12=a^(7-12)=a^(-5)`
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संबंधित प्रश्न
Simplify and express the result in power notation with positive exponent.
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`{(1/3)^(-1) - (1/4)^(-1)}^(-1)`
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5−2
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\[\left( \frac{5}{4} \right)^{- 3}\]
Simplify:
\[\left\{ \left( \frac{1}{2} \right)^{- 1} \times ( - 4 )^{- 1} \right\}^{- 1}\]
Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]
Square of \[\left( \frac{- 2}{3} \right)\] is
\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] is equal to
Evaluate.
`(8^(-1)xx5^(3))/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
