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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

ConceptLaws of Exponents for Real Numbers

#### 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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