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Find the Value of X in the Following: `(2^3)^4=(2^2)^X` - Mathematics

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Question

Find the value of x in the following:

`(2^3)^4=(2^2)^x`

Solution

Given `(2^3)^4=(2^2)^x`

`2^(3xx4)=2^(2xx x)`

`2^12=2^(2x)`

On equating the exponents

12 = 2x

x = 12/2

x = 6

Hence, the value of x = 6.

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Chapter 2: Exponents of Real Numbers - Exercise 2.2 [Page 26]

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RD Sharma Mathematics [English] Class 9
Chapter 2 Exponents of Real Numbers
Exercise 2.2 | Q 10.2 | Page 26

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