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Simplify: `((25)^(3/2)Xx(243)^(3/5))/((16)^(5/4)Xx(8)^(4/3))` - CBSE Class 9 - Mathematics

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Question

Simplify:

`((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3))`

Solution

Given `((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3))`

`((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3))=(5^(2xx3/2)xx3^(5xx3/5))/(2^(4xx5/4)xx2^(3xx4/3))`

`=(5^3xx3^3)/(2^5xx2^4)`

`=(125xx27)/(32xx16)`

`=3375/512`

Hence the value of `((25)^(3/2)xx(243)^(3/5))/((16)^(5/4)xx(8)^(4/3))` is `3375/512`

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APPEARS IN

 RD Sharma Solution for Mathematics for Class 9 by R D Sharma (2018-19 Session) (2018 to Current)
Chapter 2: Exponents of Real Numbers
Ex. 2.20 | Q: 2.5 | Page no. 24

Video TutorialsVIEW ALL [1]

Solution Simplify: `((25)^(3/2)Xx(243)^(3/5))/((16)^(5/4)Xx(8)^(4/3))` Concept: Laws of Exponents for Real Numbers.
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