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( 2 3 ) − 5 × ( 5 7 ) − 5 is Equal to - Mathematics

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Question

\[\left( \frac{2}{3} \right)^{- 5} \times \left( \frac{5}{7} \right)^{- 5}\] is equal to

Options

  • \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 10}\]

     

  • \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 5}\]

     

  • \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{25}\]

     

  • \[\left( \frac{2}{3} \times \frac{5}{7} \right)^{- 25}\]

     

MCQ
Sum

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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Chapter 2: Powers - Exercise 2.4 [Page 24]

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RD Sharma Mathematics [English] Class 8
Chapter 2 Powers
Exercise 2.4 | Q 13 | Page 24

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