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Question
Options
- \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 10}\]
- \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 5}\]
- \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{25}\]
- \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 25}\]
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Solution
\[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 5}\]
We have:
\[\left( \frac{2}{3} \right)^{- 5} \times \left( \frac{5}{7} \right)^{- 5}\] `=(2/3xx5/7)^(-5)` → ((a x b)n = an x bn)
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RELATED QUESTIONS
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\[\left( \frac{1}{2} \right)^{- 1} + \left( \frac{1}{3} \right)^{- 1} + \left( \frac{1}{4} \right)^{- 1}\]
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