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प्रश्न
\[\left( \frac{3}{4} \right)^5 \div \left( \frac{5}{3} \right)^5\] is equal to
पर्याय
- \[\left( \frac{3}{4} \div \frac{5}{3} \right)^5\]
`(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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संबंधित प्रश्न
Express the following as a rational number of the form \[\frac{p}{q},\] where p and q are integers and q ≠ 0.
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\[\left\{ \left( \frac{1}{3} \right)^{- 1} - \left( \frac{1}{4} \right)^{- 1} \right\}^{- 1}\]
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\[\left( 3^{- 1} \times 4^{- 1} \right)^{- 1} \times 5^{- 1}\]
Simplify:
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\[\left( \frac{1}{3} \right)^{- 4}\]
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Find x, if
\[\left( \frac{- 1}{2} \right)^{- 19} \times \left( \frac{- 1}{2} \right)^8 = \left( \frac{- 1}{2} \right)^{- 2x + 1}\]
