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प्रश्न
Express the following rational numbers with a positive exponent:
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उत्तर
\[\left\{ \left( \frac{4}{3} \right)^{- 3} \right\}^{- 4} \]
\[ = \left( \frac{4}{3} \right)^{- 4 \times - 3} \]
\[ = \left( \frac{4}{3} \right)^{12}\] → ((am)n = amn)
APPEARS IN
संबंधित प्रश्न
Evaluate.
`(1/2)^(-5)`
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
Simplify:
Express the following rational numbers with a negative exponent:
Simplify:
If \[x = \left( \frac{4}{5} \right)^{- 2} \div \left( \frac{1}{4} \right)^2\], find the value of x−1.
\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] is equal to
Find the value of `(1/2)^(-2)+(1/3)^(-2)+(1/4)^(-2)`
Evaluate.
(5−1 × 2−1))× 6−1
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
