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प्रश्न
\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] is equal to
विकल्प
- \[\left( \frac{3}{4} \div \frac{5}{3} \right)^5\]
`(4/3div3/5)^5`
`(5/3div4/3)^3`
`(3/5div3/4)^3`
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उत्तर
We have:
\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] =\[\left( \frac{3}{4} \div \frac{5}{3} \right)^5\] → \[a^n \div b^n = \left( a \div b \right)^{n^{}}\]
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| 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 | ||||||||
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