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प्रश्न
Which of the following is not equal to \[\left( \frac{- 3}{5} \right)^4 ?\]
विकल्प
- \[\frac{( - 3 )^4}{5^4}\]
- \[\frac{3^4}{( - 5 )^4}\]
- \[- \frac{3^4}{5^4}\]
- \[\frac{- 3}{5} \times \frac{- 3}{5} \times \frac{- 3}{5} \times \frac{- 3}{5}\]
MCQ
योग
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उत्तर
\[- \frac{3^4}{5^4}\]
\[\left( \frac{- 3}{5} \right)^4 = \frac{( - 3 )^4}{5^4} = \frac{3^4}{( - 5 )^4} = \frac{- 3}{5} \times \frac{- 3}{5} \times \frac{- 3}{5} \times \frac{- 3}{5}\]
\[\text{ It is not equal to }- \frac{3^4}{5^4}\]
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संबंधित प्रश्न
Express the following rational numbers with a negative exponent:
\[\left( \frac{3}{5} \right)^4\]
Express the following rational numbers with a positive exponent:
\[\left( \frac{3}{4} \right)^{- 2}\]
Simplify:
\[\left( 3^2 - 2^2 \right) \times \left( \frac{2}{3} \right)^{- 3}\]
Simplify:
\[\left\{ \left( \frac{2}{3} \right)^2 \right\}^3 \times \left( \frac{1}{3} \right)^{- 4} \times 3^{- 1} \times 6^{- 1}\]
Square of \[\left( \frac{- 2}{3} \right)\] is
\[\left( \frac{2}{3} \right)^{- 5}\] is equal to
\[\left( \frac{- 1}{2} \right)^5 \times \left( \frac{- 1}{2} \right)^3\] is equal to
Find the value of `(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-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
Simplify and express the result in power notation with positive exponent.
`(−3)^4 × (5/3)^4`
