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Assuming that X, Y, Z Are Positive Real Numbers, Simplify the Following: `(X^-4/Y^-10)^(5/4)` - Mathematics

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Question

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

`(x^-4/y^-10)^(5/4)`

Solution

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

Given `(x^-4/y^-10)^(5/4)`

`=(x^-4)^(5/4)/(y^-10)^(5/4)`

`=x^(-4xx5/4)/y^(-10xx5/4)`

`=x^-5/y^(-25/2)`

`=y^(25/2)/x^5`

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Chapter 2: Exponents of Real Numbers - Exercise 2.2 [Page 24]

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RD Sharma Mathematics [English] Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.2 | Q 1.6 | Page 24

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