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Assuming that X, Y, Z Are Positive Real Numbers, Simplify the Following: `(Sqrt2/Sqrt3)^5(6/7)^2` - CBSE Class 9 - Mathematics

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Question

Assuming that x, y, z are positive real numbers, simplify the following:

`(sqrt2/sqrt3)^5(6/7)^2`

Solution

We have to simplify the following, assuming that x, y, z are positive real numbers

Given `(sqrt2/sqrt3)^5(6/7)^2`

`=(sqrt2/sqrt3)^(2+2+1)(6/7)^2`

`=(sqrt2/sqrt3)^2xx(sqrt2/sqrt3)^2xx(sqrt2/sqrt3)^1xx(6/7)^2`

`=(2/3)xx(2/3)xx(sqrt2/sqrt3)^1xx(6/7)^2`

`=(16sqrt2)/(49sqrt3)`

`=sqrt(512/7203)`

`=(512/7203)^(1/2)`

  Is there an error in this question or solution?

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: 1.7 | Page no. 24

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Solution Assuming that X, Y, Z Are Positive Real Numbers, Simplify the Following: `(Sqrt2/Sqrt3)^5(6/7)^2` Concept: Laws of Exponents for Real Numbers.
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