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( − 2 5 ) 7 ÷ ( − 2 5 ) 5 is Equal to - Mathematics

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Question

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

Options

  • \[\frac{4}{25}\]

     

  • \[\frac{- 4}{25}\]

     

  • \[\left( \frac{- 2}{5} \right)^{12}\]

     

  • \[\frac{25}{4}\]

     

MCQ
Sum

Solution

`4/25`
We have:
\[\left( \frac{- 2}{5} \right)^7 \div \left( \frac{- 2}{5} \right)^5\] `=((-2)/5)^(7-5)`
`=((-2)/5)^2`

`=(-2)^2/5^2`

`=4/25`

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Chapter 2: Powers - Exercise 2.4 [Page 23]

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RD Sharma Mathematics [English] Class 8
Chapter 2 Powers
Exercise 2.4 | Q 9 | Page 23

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